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Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results


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M.W. Alomari, Some properties of h-MN-convexity and Jensen’s type inequalities, J . Interdiscip. Math. 22 (2019), no. 8, 1349–1395. Search in Google Scholar

A. Azócar, K. Nikodem, and G. Roa, Fejér-type inequalities for strongly convex functions, Ann. Math. Sil. 26 (2012), 43–54. Search in Google Scholar

M. Bombardelli and S. Varošanec, MφMψ -convexity and separation theorems, J. Inequal. Appl. 2022 (2022), Paper No. 65, 7 pp. Search in Google Scholar

M. Bracamonte, J. Giménez, and J. Medina, Sandwich theorem for reciprocally strongly convex functions, Rev. Colombiana Mat. 52 (2018), no. 2, 171–184. Search in Google Scholar

A. El Farissi, Simple proof and refinement of Hermite–Hadamard inequality, J. Math. Inequal. 4 (2010), no. 3, 365–369. Search in Google Scholar

M. Feng, J. Ruan, and X. Ma, Hermite–Hadamard type inequalities for multidimensional strongly h-convex functions, Math. Inequal. Appl. 24 (2021), no. 4, 897–911. Search in Google Scholar

J.-B. Hiriart-Urruty, C. Lemaréchal, Fundamentals of Convex Analysis, Springer-Verlag, Berlin, 2001. Search in Google Scholar

N. Merentes and K. Nikodem, Remarks on strongly convex functions, Aequationes Math. 80 (2010), no. 1-2, 193–199. Search in Google Scholar

F.C. Mitroi and C.I. Spiridon, Hermite–Hadamard type inequalities of convex functions with respect to a pair of quasi-arithmetic means, Math. Rep. (Bucur.) 14(64) (2012), no. 3, 291–295. Search in Google Scholar

C. Niculescu and L.-E. Persson, Convex Functions and their Applications. A Contemporary Approach, CMS Books in Mathematics, 23, Springer, New York, 2006. Search in Google Scholar

M.A. Noor, K.I. Noor, and S. Iftikhar, Hermite–Hadamard inequalities for strongly harmonic convex functions, J. Inequal. Spec. Funct. 7 (2016), no. 3, 99–113. Search in Google Scholar

B.T. Polyak, Existence theorems and convergence of minimizing sequences in extremum problems with restictions, Soviet Math. Dokl. 7 (1966), 72–75. Search in Google Scholar

T. Rajba and Sz. W¡sowicz, Probabilistic characterization of strong convexity, Opus-cula Math. 31 (2011), no. 1, 97–103. Search in Google Scholar

S. Turhan, A.K. Demirel, S. Maden, and I. Iscan, Hermite–Hadamard type integral inequalities for strongly GA-convex functions, Proc. International Conference on Mathematics and Mathematics Education (ICMME 2018), Turk. J. Math. Comput. Sci. 10 (2018), 178–183. Search in Google Scholar

S. Turhan, A.K. Demirel, S. Maden, and I. Iscan, Hermite–Hadamard type integral inequalities for strongly p-convex functions, Proc. International Conference on Mathematics and Mathematics Education (ICMME 2018), Turk. J. Math. Comput. Sci. 10 (2018), 184–189. Search in Google Scholar

S. Turhan and M. Kunt, İ. İşcan, Hermite–Hadamard type inequalities for Mφ A-convex functions, International Journal of Mathematical Modelling & Computations 10 (2020), no. 1, 57–75. Search in Google Scholar

S. Turhan, S. Maden, A.K. Demirel, and I. Iscan, Hermite–Hadamard type inequality for Mφ A-strongly convex functions, New Trends Math. Sci. 6 (2018), no. 4, 127–133. Search in Google Scholar

S. Varošanec, Mφ A-h-convexity and Hermite–Hadamard type inequalities, Int. J. Anal. Appl. 20 (2022), Paper No. 36, 14 pp. Search in Google Scholar

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