[1] Baricz Á, Neuman E. Inequalities involving modified Bessel functions of the first kind II. J Math Anal Appl, 2007, 332(1): 265--271
[2] Baricz Á. Functional inequalities involving special functions II. J Math Anal Appl, 2007, 327(2): 1202--1213
[3] Baricz Á. Functional inequalities involving special functions. J Math Anal Appl, 2006, 319(2): 450--459
[4] Alzer H. Inequalities for the tail of the exponential series. Z Anal Anwendungen, 2002, 21(2): 521--528
[5] Merkle M. Inequalities for residuals of power expansions for the exponential function and completely monotone functions. J Math
Anal Appl, 1997, 212(1): 126--134
[6] Merkle M J, Vasic P M. An inequality for residual of Maclaurin expansion. Arch Math, 1996, 66(3): 194--196
[7] Merkle M. Some inequalities for the chi-square distribution function and exponential function. Arch Math, 1993, 60(5): 451--458
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[8] Dilcher K. An inequality for section of certain power series. Arch Math, 1993, 60(4): 339--344
[9] Chen W. Notes on an inequality for sections of certain power series. Arch Math, 1994, 62(6): 528--530
[10] Alzer H, Brenner J, Ruehr O. Inequalities for the tails of some elementary series. J Math Anal Appl, 1993, 179(2): 500--506
[11] Alzer H. An inequality for the exponential function. Arch Math, 1990, 55(5): 462--464
[12] Karshon Y, Sternberg S, Weitsman J. Euler-Maclaurin with remainder for a simple integral polytope. Duke Math J, 2005, 130(3): 401--434
[13] Abel U. On the lagrange remainder of the Taylor formula. Amer Math Monthly, 2003, 110(7): 627--633
[14] Neher M. Improved validated bounds for Taylor coefficients and for Taylor remainder series. J Comput Appl Math, 2003, 152(1/2): 393--404
[15] Folland G B. Remainder estimates in Taylor's theorem. Amer Math Monthly, 1990, 97(3): 233--235
[16] Vietoris L. An improvement of the estimate of the remainder term of Taylor polynomials. Monatsh Math, 1986, 102(1): 85--89
[17] Kesava Menon P. Some integral inequalities. Math Student, 1943, 11: 36--38
[18] Ramanujan S. Question 294. J Indian Math Soc, 1911, 3: 128
[19] Niculescu C P, Persson L E. Convex Functions and Their Applications. New York: Springer-Verlag, 2006
[20] Greene R E, Wu H. C∞ convex functions and manifolds of positive curvature. Acta Math, 1976, 137(3/4): 209--245
[21] Greene R E, Shiohama K. Convex functions on complete noncompact manifolds: topological structure. Invent Math, 1981, 63(1): 129--157
[22] Aujla J S, Silva F C. Weak majorization inequalities and convex functions. Linear Algebra Appl, 2003, 369: 217--233
[23] Lu G Z, Manfredi J, Stroffolini B. Convex functions on the Heisenberg group. Calc Var Partial Differential Equations, 2004, 19(1): 1--22
[24] Titarenko V, Yagola A. Linear ill-posed problems on sets of convex functions on two-dimensional sets. J Inverse Ill-Posed Probl, 2006, 14(7): 735--750
[25] Dilworth S, Howard R, Roberts J W. A general theory of almost convex functions. Trans Amer Math Soc, 2006, 358(8): 3413--3445
[26] Garofalo N, Tournier F. New properties of convex functions in the Heisenberg group. Trans Amer Math Soc, 2006, 358(5): 2011--2055
[27] Schnurer O C. Convex functions with unbounded gradient. Results Math, 2005, 48(1/2): 158--161
[28] Slavov Z D. Weak and strong optimality and increasing concave functions. Appl Math Comput, 2003, 135(2/3): 517--529
[29] Dilworth S J, Lennard C J. Uniform Kadec-Klee Lorentz spaces Lw,1 and uniformly concave functions. Canad Math Bull, 1996, 39(3): 266--274
[30] Meyer M, Mokobodzki G, Rogalski M. Convex bodies and concave function. Proc Amer Math Soc, 1995, 123(2): 477--484
[31] Hlavac P, Sundaresan K. Geometry of Banach spaces of functions associated with concave functions. Trans Amer Math Soc, 1976, 215: 161--189
[32] Montel P. Sur les fonctions convexes et les sousharmoniques. Journal de Math(9), 1928, 7: 29--60
[33] Niculescu C P. Convexity according to the geometric mean. Math Inequal Appl, 2000, 3(2): 155--167 |