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Volume 14, Issue 1 (2026) Under Process, Pages [1] - [20]
ON AN ALTERNATIVE TO THE FEJÉR INTEGRAL INEQUALITY
[1] J. Hadamard, Étude sur les propriétés des fonctions entiéres et en particulier d’une fonction considérée par Riemann, J. Math. Pures Appl. 58 (1893), 171-215.
DOI: https://doi.org/10.1007/BF02418571
[5] E. F. Beckenbach, Convex functions, Bull. Amer. Math. Soc. 54(5) (1948), 439-460.
DOI: https://doi.org/10.1090/S0002-9904-1948-08994-7
[6] R. Bellman, On the approximation of curves by line segments using dynamic programming, Communications of the ACM 4(6) (1961), 284.
DOI: https://doi.org/10.1145/366573.366611
[7] D. S. Mitrinović, Analytic Inequalities,
DOI: https://doi.org/10.1007/978-3-642-99970-3
[8] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht/Boston/London, 1993.
DOI: https://doi.org/10.1007/978-94-017-1043-5
[9] A. W. Roberts and D. E. Varberg, Convex Functions, Academic Press, 1973.
[10] C. P. Niculescu, Convexity according to the geometric mean, Math. Ineq. and Appl. 3(2) (2000), 155-167.
[11] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, 2nd Ed., Cambridge University Press, 1952.
[12] J. E. Pečarić, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings and Statistical Applications. Academic Press, Inc.,
[13] S. I. Butt and J. E. Pečarić, Generalized Hermite-Hadamard’s inequality, In Proc. A. Razmadze Math. Inst. 163 (2013), 9-27.
[14] S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monographs,
[15] M. Z. Sarikaya, A. Saglam and H. Yildirim, On some Hadamard-type inequalities for h-convex functions, J. Math. Inequal. 2(3) (2008), 335-341.
DOI: https://dx.doi.org/10.7153/jmi-02-30
[16] M. Kunt and I. Işcan, Fractional Hermite-Hadamard-Fejér type inequalities for GA-convex functions, Turk. J. Inequal. 2(1) (2018), 1-20.
[17] M. Qu, W. Liu and J. Park, Some new Hermite-Hadamard-type inequalities for geometric-arithmetically s-convex functions, WSEAS Trans. on Math. 13 (2014), 452-461.
[18] J. Wang, C. Zhu and Y. Zhou, New generalized Hermite-Hadamard type inequalities and applications to special means. J. Inequal. Appl. 2013, 1-15.
DOI: https://doi.org/10.1186/1029-242X-2013-325
[19] S. Faisal, M. A. Khan and
DOI: https://doi.org/10.2298/FIL2202469F
[20] M. Vivas-Cortez, M. U. Awan, M. Z. Javed, A. Kashuri, M. A. Noor and K. I. Noor, Some new generalized
fractional Hermite-Hadamard-Mercer type integral inequalities and their applications, AIMS Math. 7(2) (2022), 3203-3220.
DOI: https://doi.org/10.3934/math.2022177
[21] M. W. Alomari, M. Darus and S. S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, Tamkang Jour. Math. 41(4) (2010), 353-359.
DOI: https://doi.org/10.5556/j.tkjm.41.2010.498
[22] M. E. Ozdemir, M. Avci and H. Kavurmaci, Hermite-Hadamard-type inequalities via
-convexity, Comp. Math. Appl. 61(9) (2011), 2614-2620.
DOI: https://doi.org/10.1016/j.camwa.2011.02.053
[23] W. T. Sulaiman, Some refinements of the Hermite-Hadamard inequality concerning products of convex functions, J. Math. Comput. Sci. 2(1) (2012), 54-60.
[24] S. Simić and B. Bin-Mohsin, Some Improvements of the Hermite-Hadamard Integral Inequality, Symmetry 12(1) (2020), 117.
DOI: https://doi.org/10.3390/sym12010117
[25] S. Simić and B. Bin-Mohsin, Some generalizations of the Hermite-Hadamard integral inequality, J Inequal Appl. 2021 (2021), 1-7.
DOI: https://doi.org/10.1186/s13660-021-02605-y
[26] C. Chesneau, On new Fejér type integral inequalities via a change of variables approach, Lobachevskii J. Math. 46(8) (2025), 3945-3953.
DOI: https://doi.org/10.1134/S1995080225609361
[27] C. Chesneau, A contribution to a specic convex integral inequality, Trans. J. Math. Anal. Appl. 14(1) (2026), 1-9.