[1] A. Matkovic and J. Pecaric, A Variant of Jensens Inequality of Mercers Type for Operators with Applications, Linear Algebra Appl., 418 (2-3) (2006), pp. 551-564.
[2] A. Matković and J.E. Pečarić, Refinements of the Jensen-Mercer’s Inequality for Index Set Functions with Applications, Rev, Anal. Numér. Théor. Approx., 35 (1) (2006), pp. 71-82.
[3] A. McD. Mercer, A Variant of Jensen’s inequality, J. Inequal. Pure Appl. Math., 4
(4) (2003), pp. 73.
[4] A.R. Khan and I.U. Khan, Some Remarks on Niezgoda’s Extension of Jensen−Mercer Inequality, Adv. Inequal. Appl., 2016 (2016).
[5] A.R. Khan, I.U. Khan and S.S.A. Ramji, Generalizations and Refinements of Niezgoda’s Extension of Jensen-Mercer Inequality with Applications, J. Math. Inequal., 15 (4) (2021), pp. 1341-1360.
[6] A.R. Khan and S. Saadi, Generalized Jensen−Mercer Inequality for Functions with Nondecreasing Increments, Abstract Appl. Anal., 2016 (2016), pp. 1-12.
[7] A.W. Robert and D.E. Varberg, Convex functions, Academic Press, New York-
[8] D.S. Mitrinović, J.E. Pečarić and A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers Group, Dordrecht, (1993).
[9] F. Rubab, H. Nabi and A.R. Khan, Generalization and Refinement of Jensen Inequality, J. Math. Anal., 12 (5) (2021), pp. 1-27.
[10] G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities, Cambridge University Press, Cambridge, (1934).
[11] J.E. Pečarić, F. Proschan and Y.L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, New York, (1992).
[12] J.F. Steffensen, On Certain Inequalities and Methods of Approximation, J. Inst. Actuaries, 3 (1919), pp. 274-279.
[13] J.L.W.V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, (French) Acta Math., 30 (1) (1906), pp. 175–-193.
[14] J.L.W.V. Jensen, Om konvexe funktioner og uligheder mellem Middelvaerdier,(German) Nyt. Tidsskrift Math., 16B (1905), pp. 49-–69.s
[15] J. Zhao, S.I. Butt, J. Nasir, Z. Wang and I. Tlili, Hermite–Jensen–Mercer Type Inequalities for Caputo Fractional Derivatives, J. Funct. Spaces, 2020 (2020), pp. 1-11.
[16] M.A. Khan, A.R. Khan and J.E. Pečarić, On the Refinements of Jensen−Mercer’s Inequality, Rev. Anal. Numér. Théor. Approx., 41 (1) (2012), pp. 62-81.
[17] M.A. Khan, M. Hanif, Z.A.H. Khan, K. Ahmad and Y.M. Chu, Association of Jensen’s Inequality for s-Convex Function with Csiszár Divergence, J. Ineq. Appl., 2019 (1) (2019), pp. 1-14.
[18] M.K. Bakula, M. Matič and J.E. Pečarić, Generalizations of the Jensen−Steffensen and Related Inequalities, Cent. Eur. J. Math., 7 (4) (2009), pp. 787-803.
[19] M. Kian and M. Moslehian, Refinements of the Operator Jensen-Mercer Inequality, Electron. J. Linear Algebra, 26 (2013), pp. 742-753.
[20] M.M. Ali and A.R. Khan, Generalized Integral Mercer’s Inequality and Integral Means, J. Inequal. Spec. Funct., 10 (1) (2019), pp. 60-67.
[21] M. Niezgoda, A Generalization of Mercer’s Result on Convex Functions, Nonlinear Anal., 71 (7-8) (2009), pp. 2771-2779.
[22] M. Niezgoda, Bifractional Inequalities and Convex Cone, Discrete Math., 306 (2) (2006), pp. 231-243.
[23] M. Niezgoda, Remarks on convex functions and separable sequences, Discrete Math., 308 (10) (2008), pp. 1765-1773.
[24] P. Xu, S.I. Butt, S. Yousaf, A. Aslam and T.J. Zia, Generalized Fractal Jensen– Mercer and Hermite–Mercer Type Inequalities via h-Convex Functions Involving Mittag–Leffler Kernel, Alexandria Engineering Journal, 61 (6) (2022), pp. 4837-4846.
[25] R. Rado, An Inequality, J. London Math. Soc., 27 (1952), pp. 1–6.
[26] S. Abramovich, M.K. Bakula, M. Matić and J.E. Pečarić, A Variant of Jensen−Steffensen’s Inequality and Quasi−Arithmetic Means, J. Math. Anal. Appl., 307 (1) (2005), pp. 370-386.
[27] S.I. Butt, M. Umar, S. Rashid, A.O. Akdemir and Y.M. Chu, New Hermite-Jensen-Mercer-type Inequalities via k-Fractional Integrals, Advances in Difference Equations, 2020 (1) (2020), pp. 1-14.
[28] T. Popoviciu, Les fonctions convexes, Hermann, Paris, 1944.
)