1. Construction of concentration measures for general Lorenz curves using Riemann-Stieltjes integrals.  
   Egghe, L.
   Math. Comput. Modelling  35  (2002),  no. 9-10, 1149--1163, MathSciNet.  
2. Partitions of the interval in the definition of Riemann's integral  
   Tong, J.
   International Journal of Mathematical Education in Science and Technology, 2001, vol. 32, no. 5, pp. 788-792, Ingenta.   
3. Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral
   Dragomir, S. S.
   Nonlinear Analysis Theory Methods and Applications, 2001, vol. 47, no. ER4, pp. 2333-2340, Ingenta.   
4. The Stokes Theorem for the Generalized Riemann Integral
   Pfeffer, W. F.
   Real Analysis Exchange, 2001, vol. 26, no. 2, pp. 623-636, Ingenta.   
5. L'eternel retour des sommes de Riemann-Stieltjes dans l'evolution du calcul integral
   Mawhin, J.
   Bulletin- Societe Royale des Sciences de Liege, 2001, vol. 70, no. 4/6, pp. 345-364, Ingenta.   
6. On certain Riemann boundary value problems and singular integral equations in Clifford analysis. (Chinese)
   Zhang, Zhong Xiang; Du, Jin Yuan
   Chinese Ann. Math. Ser. A 22 (2001), no. 4, 421--426; translation in Chinese J. Contemp. Math. 22 (2001), no. 3, 237--244, MathSciNet.  
7. On the Ostrowski's inequality for Riemann-Stieltjes integral and applications
   Dragomir, S. S.
   Korean Journal of Computational and Applied Mathematics Series A, 2000, vol. 7, no. 3, pp. 843-860, Ingenta.   
8. A Convergence Theorem for the Riemann Integral  
   Gordon, Russell A.
   Mathematics Magazine, 2000, vol. 73, no. 2, pp. 141, Ingenta.   
9. The fuzzy Riemann integral and its numerical integration.
   Wu, H.-C.
   Fuzzy sets and systems, 2000, vol. 110, no. 1, pp. 1, Ingenta.   
10. Approximating a Riemann integral using the central limit theorem.
    Tunaru, R.
    Mathematica japonicae [sic], 1999, vol. 49, no. 2, pp. 191, Ingenta.   
11. A Riemann Sum Upper Bound in the Riemann-Lebesgue Theorem.
    van Putten, Maurice H. P. M.
    Siam review, 1998, vol. 40, no. 2, pp. 333-334, Ingenta.  
12. The improper fuzzy Riemann integral and its numerical integration.
    Wu, Hsien-Chung
    Information sciences, 1998, vol. 111, no. 1/4, pp. 109-13, Ingenta.   
13. The generalized Riemann integral on locally compact spaces.
    Edalat, A.; Negri, S.
    Topology and its applications, 1998, vol. 89, no. 1/2, pp. 121, Ingenta.   
14. The limit set of Riemann sums of a vector Stieltjes integral.
    Tseytlin, Leonid
    Quaestiones Math. 21 (1998), no. 1-2, 61--74, MathSciNet.  
15. Quadratic variation and Riemann sums for the generalized multiple Skorokhod integral.
    Delgado, Rosario; Jolis, Maria
    Random Oper. Stochastic Equations 6 (1998), no. 2, 183--199, MathSciNet.  
16. Integral representation in Cn by a generalized Riemann function.
    Witte, Jörg
    Complex Variables Theory Appl. 35 (1998), no. 4, 337--357, MathSciNet.  
17. A Riemann-type integral based on the second symmetric derivative.
    Freiling, C.; Rinne, D.; Thomson, B.S.
    Journal of the London Mathematical Society, 1997, vol. 56p3, pp. 539, Ingenta.   
18. Approximation of Lebesgue integrals by Riemann sums and lattice points in domains with fractal boundary.
    Colzani, Leonardo
    Monatsh. Math. 123 (1997), no. 4, 299--308, MathSciNet.  
19. Return to the Riemann Integral  
    Robert G. Bartle
    The American Mathematical Monthly, Vol. 103, No. 8. (Oct., 1996), pp. 625-632, Jstor.  
20. Randomly Sampled Riemann Sums and Complete Convergence in the Law of Large Numbers for a Case without Identical Distribution  
    Alexander R. Pruss
    Proceedings of the American Mathematical Society, Vol. 124, No. 3. (Mar., 1996), pp. 919-929, Jstor.  
21. A constructive definition of the n-dimensional-integral in terms of Riemann sums.
    Nonnenmacher, Dirk Jens F.
    Real Anal. Exchange 21 (1995/96), no. 1, 216--235, MathSciNet.  
22. A Riemann Integral Approach to Feynman's Path Integral.
    Monaco, R.L.; Lagos, R.e.; Rodrigues Jr., W.A.
    Foundations of physics letters, 1995, vol. 8, no. 4, pp. 365, Ingenta.   
23. The Genesis of the Generalized Riemann Integral.
    Shisha, O.
    Computers & mathematics with applications, 1995, vol. 30, no. 3/6, pp. 207, Ingenta.   
24. On Riemann sums and Lebesgue integrals.
    Nair, R.
    Monatsh. Math. 120 (1995), no. 1, 49--54, MathSciNet.  
25. The numerical computations of integrals over paths on Riemann surfaces of genus N.
    Lee, J.-E.
    Teoret. Mat. Fiz. 101 (1994), no. 2, 179--188; translation in Theoret. and Math. Phys. 101 (1994), no. 2, 1281--1288 (1995), MathSciNet.  
26. Riemann Sums and the Exponential Function (in Classroom Capsules)  
    Sheldon P. Gordon
    The College Mathematics Journal, Vol. 25, No. 1. (Jan., 1994), pp. 39-40, Jstor.  
27. Multipliers for the Generalized Riemann Integral.
    Mortensen, Jeff W.; Pfeffer, Washek F.
    Journal of mathematical analysis and application, 1994, vol. 187, no. 2, pp. 538, Ingenta.   
28. Riemann Integral Operator for Nonstationary Processes in the Axisymmetric Case.
    Aleksandrovich, I.N.; Roshchupkina, O.N.
    Journal of mathematical sciences., 1994, vol. 71, no. 4, pp. 2544, Ingenta.   
29. Evaluating Lebesgue integrals as limits of Riemann sums.
    Kahane, Charles S.
    Math. Japon. 38 (1993), no. 6, 1073--1076, MathSciNet.  
30. A concept of absolute continuity and a Riemann type integral.
    Bongiorno, B.; Pfeffer, W.F.
    Commentationes mathematicae Universitatis Carolinae, 1992, vol. 33, no. 2, pp. 189, Ingenta.   
31. A Riemann type definition of a variational integral.
    Pfeffer, Washek F.
    Proceedings of the american mathematical society, 1992, vol. 114, no. 1, pp. 99, Ingenta.   
32. Riemann integral vs. Lebesgue integral.
    Sikic, H.
    Real analysis exchange, 1991, vol. 17, no. 2, pp. 622, Ingenta.   
33. A Riemann integral with values in a metric space: I.
    Janiec, Eugeniusz
    Journal of the London Mathematical Society, 1991, vol. 44p3, pp. 445, Ingenta.   
34. On approximating Lebesgue integrals by Riemann sums.
    Révész, Szilárd Gy.; Ruzsa, Imre Z.
    Glasgow Math. J. 33 (1991), no. 2, 129--134, MathSciNet.  
35. A note on Riemann sums and improper integrals related to the prime number theorem.
    Selvaraj, S.
    J. Approx. Theory 66 (1991), no. 1, 106--108, MathSciNet.  
36. Globally small Riemann sums and the Henstock integral.
    Lu, Shi Pan; Lee, Peng Yee
    Real Anal. Exchange 16 (1990/91), no. 2, 537--545, MathSciNet.  
37. Globally small Riemann sums and the Henstock integral.
    Lu, S-P.; Lee, P-Y.
    Real analysis exchange, 1990, vol. 16, no. 2, pp. 537, Ingenta.   
38. Hake's property of a multidimensional generalized Riemann integral.
    Mawhin, Jean
    Czechoslovak mathematical journal, 1990, vol. 40, no. 4, pp. 690, Ingenta.   
39. A new definition of generalized Riemann Stieltjes integral.
    Ray, Swapan Kumar; Das, A.G.
    Bulletin of the Institute of Mathematics, Academia Sinica., 1990, vol. 18, no. 3, pp. 273, Ingenta.   
40. Taylor's Theorem Using the Generalized Riemann Integral (in The Teaching of Mathematics)  
    H. B. Thompson  
    The American Mathematical Monthly, Vol. 96, No. 4. (Apr., 1989), pp. 346-350, Jstor.  
41. A descriptive characterization of the generalized Riemann integral.
    Gordon, R.
    Real analysis exchange, 1989, vol. 15, no. 1, pp. 397
42. Another proof of the measurability of delta for the generalized Riemann integral.
    Gordon, R.
    Real analysis exchange, 1989, vol. 15, no. 1, pp. 386
43. Riemann Integral of cos x (in Classroom Capsules)  
    John H. Mathews; Harris S. Shultz
    The College Mathematics Journal, Vol. 20, No. 3. (May, 1989), p. 237, Jstor.  
44. Some Remarks on Generalized Riemann Integral.
    Hu, Shouchuan; Lakshmikantham, V.
    Journal of mathematical analysis and applicatio, 1989, vol. 137, no. 2, pp. 515
45. Connections between some sums with respect to trivial and nontrivial zeros of the Riemann zeta function. (Russian)  
    Matiyasevich, Yu. V.
    Mat. Zametki  45  (1989),  no. 2, 65--70, 142;  translation in  Math. Notes  45  (1989),  no. 1-2, 131--135, MathSciNet.  
46. A Note on the Generalized Riemann Integral  
    Washek F. Pfeffer  
    Proceedings of the American Mathematical Society, Vol. 103, No. 4. (Aug., 1988), pp. 1161-1166, Jstor.  
47. A Geometric Interpretation of the Riemann-Stieltjes Integral (in The Teaching of Mathematics)  
    Gregory L. Bullock  
    The American Mathematical Monthly, Vol. 95, No. 5. (May, 1988), pp. 448-455, Jstor.  
48. On approximation of Lebesgue-integrals by Riemann sums.
    Ghosh, S.
    Bull. Calcutta Math. Soc. 80 (1988), no. 6, 397--400, MathSciNet.  
49. A comparison of two generalizations of the Riemann integral.
    Rutledge, D. S.; Worth, R. E.
    Real Anal. Exchange 13 (1987/88), no. 2, 432--435, MathSciNet.  
50. A Note on Evaluating Limits Using Riemann Sums (in Notes)  
    Sudhir K. Goel; Dennis M. Rodriguez
    Mathematics Magazine, Vol. 60, No. 4. (Oct., 1987), pp. 225-228, Jstor.  
51. An Easy Generalization of the Riemann Integral (in The Teaching of Mathematics)  
    Michael W. Botsko  
    The American Mathematical Monthly, Vol. 93, No. 9. (Nov., 1986), pp. 728-732, Jstor.  
52. Using Riemann Sums in Evaluating a Familiar Limit (in Classroom Capsules)  
    Frank Burk; Sudhir K. Goel; Dennis M. Rodriguez
    The College Mathematics Journal, Vol. 17, No. 2. (Mar., 1986), pp. 170-171, Jstor.  
53. What is a Differential? A New Answer from the Generalized Riemann Integral  
    Solomon Leader  
    The American Mathematical Monthly, Vol. 93, No. 5. (May, 1986), pp. 348-356, Jstor.  
54. Riemann sums and improper integrals of step functions related to the prime number theorem.
    Byrnes, J. S.; Giroux, A.; Shisha, O.
    J. Approx. Theory 40 (1984), no. 2, 180--192, MathSciNet.  
55. Nonstandard Construction of the Stochastic Integral and Applications to Stochastic Differential Equations. I  
    Douglas N. Hoover; Edwin Perkins
    Transactions of the American Mathematical Society, Vol. 275, No. 1. (Jan., 1983), pp. 1-36, Jstor.  
56. The generalized Riemann, simple, dominated and improper integrals.
    Lewis, James T.; Shisha, Oved
    J. Approx. Theory 38 (1983), no. 2, 192--199, MathSciNet.  
57. Présences des sommes de Riemann dans l'evolution du calcul intégral. (French)
    [The presence of Riemann sums in the evolution of integral calculus]
    Mawhin, Jean
    Proceedings of the Seminar on the History of Mathematics, 4, 117--147, Inst. Henri Poincaré, Paris, 1983, MathSciNet.  
58. The Lebesgue Integral as the Almost Sure Limit of Random Riemann Sums  
    John C. Kieffer; Caslav V. Stanojevic
    Proceedings of the American Mathematical Society, Vol. 85, No. 3. (Jul., 1982), pp. 389-392, Jstor.  
59. Riemann sums for stochastic integrals and Lp moduli of continuity.
    Sjögren, Peter
    Z. Wahrsch. Verw. Gebiete 59 (1982), no. 3, 411--424, MathSciNet.  
60. Application of linear methods to the approximation of solutions of linear integral equations in Riemann-Stieltjes integrals. (Russian)
    Abbasov, R. Z.
    Investigation of linear operators and their applications, 29--43, Azerbai dzhan. Gos. Univ., Baku, 1982, MathSciNet.  
61. Shorter Notes: The Riemann Integral in Constructive Mathematics  
    David Spring
    Proceedings of the American Mathematical Society, Vol. 83, No. 4. (Dec., 1981), pp. 839-840, Jstor.  
62. Convergence of Riemann sums for stochastic integrals.
    Sjögren, Peter
    Z. Wahrsch. Verw. Gebiete 56 (1981), no. 2, 181--193, MathSciNet.  
63. How Close Are the Riemann Sums to the Integral They Approximate? (in Classroom Capsules)  
    V. N. Murty
    The Two-Year College Mathematics Journal, Vol. 11, No. 4. (Sep., 1980), pp. 268-270, Jstor.  
64. Regulated Functions: Bourbaki's Alternative to the Riemann Integral (in Classroom Notes)  
    S. K. Berberian
    The American Mathematical Monthly, Vol. 86, No. 3. (Mar., 1979), pp. 208-211, Jstor.  
65. Infinite Riemann sums, the simple integral, and the dominated integral.
    Lewis, James T.; Osgood, Charles F.; Shisha, Oved
    General inequalities (Proc. First Internat. Conf., Math. Res. Inst., Oberwolfach, 1976), I, pp. 233--242. Birkhäuser, Basel, 1978, MathSciNet.  
66. Riemann sums and Lebesgue integrals.
    Baker, R. C.
    Quart. J. Math. Oxford Ser. (2) 27 (1976), no. 106, 191--198, MathSciNet.  
67. Arzela's Dominated Convergence Theorem for the Riemann Integral  
    W. A. J. Luxemburg
    The American Mathematical Monthly, Vol. 78, No. 9. (Nov., 1971), pp. 970-979, Jstor.  
68. An Inequality for the Riemann-Stieltjes Integral  
    Richard Darst; Harry Pollard
    Proceedings of the American Mathematical Society, Vol. 25, No. 4. (Aug., 1970), pp. 912-913, Jstor.  
69. On a Riemann Sum Construction of Rudin  
    C. J. Mozzochi
    Proceedings of the American Mathematical Society, Vol. 22, No. 3. (Sep., 1969), p. 718, Jstor.  
70. On the Nature of Certain Quadrature Formulas and Their Errors  
    Christopher T. H. Baker  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 4. (Dec., 1968), pp. 783-804, Jstor.  
71. On limits of Riemann sums and the range of integrals.
    Hartman, Philip
    Math. Ann. 176 1968 208--220, MathSciNet.  
72. Numerical Integration and Riemann-Stieltjes Sums  
    Henry P. Decell, Jr.; Robert N. Lea
    SIAM Review, Vol. 8, No. 2. (Apr., 1966), pp. 196-200, Jstor.  
73. Numerical Integration and the Solution of Integral Equations by the Use of Riemann Sums  
    L. B. Rall
    SIAM Review, Vol. 7, No. 1. (Jan., 1965), pp. 55-64, Jstor.  
74. On the Riemann Integral in Two Dimensions (in Classroom Notes)  
    Solomon Marcus
    The American Mathematical Monthly, Vol. 71, No. 5. (May, 1964), pp. 544-545, Jstor.  
75. An Arithmetic Property of Riemann Sums  
    Walter Rudin
    Proceedings of the American Mathematical Society, Vol. 15, No. 2. (Apr., 1964), pp. 321-324, Jstor.  
76. Riemann sums for integrals of the moduli of certain trigonometric polynomials. (Ukrainian)  
    Pavlovskii, N. M.
    Dopovidi Akad. Nauk Ukraïn. RSR  1962  1962 722--728, MathSciNet.  
77. On the Definition of the Riemann Integral (in Classroom Notes)  
    Abe Sklar
    The American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp. 897-900, Jstor.  
78. Riemann sums for integrals of moduli of certain trigonometric polynomials. (Russian)
    Ganzburg, I. M.; Timan, A. F.
    Uspehi Mat. Nauk 14 1959 no. 3 (87), 123--128, MathSciNet.  
79. On a new definition of stochastic integral by random Riemann sum.
    Nisio, Makiko
    Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 31 1958 25--31, MathSciNet.  
80. A Generalization of the Riemann Integral  
    Casper Goffman  
    Proceedings of the American Mathematical Society, Vol. 3, No. 4. (Aug., 1952), pp. 543-547, Jstor.  
81. Convergence of Cauchy-Riemann sums to Cauchy-Riemann integrals.
    0a Szász, Otto; Todd, John
    J. Research Nat. Bur. Standards 47, (1951). 191--196, MathSciNet.  
82. A Note on the Riemann Integral (in Discussions and Notes)  
    H. E. Robbins
    The American Mathematical Monthly, Vol. 50, No. 10. (Dec., 1943), pp. 617-618, Jstor.  
83. Approximative Riemann-sums for improper integrals.
    Dickinson, D. R.
    Quart. J. Math., Oxford Ser. 12, (1941). 176--183, MathSciNet.  
84. Definite Integrals and Riemann Sums  
    J. A. Shohat
    The American Mathematical Monthly, Vol. 46, No. 9. (Nov., 1939), pp. 538-545, Jstor.  
85. Note on Degree of Approximation to an Integral by Riemann Sums  
    J. L. Wals; W. E. Sewell
    The American Mathematical Monthly, Vol. 44, No. 3. (Mar., 1937), pp. 155-160, Jstor.  
86. On the Approximation of Lebesgue Integrals by Riemann Sums  
    B. Jessen
    The Annals of Mathematics, 2nd Ser., Vol. 35, No. 2. (Apr., 1934), pp. 248-251, Jstor.  

(c) John H. Mathews 2004