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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

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[1] Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51-58.10.15352/afa/1399900993Search in Google Scholar

[2] Z. B. Fang, R. Shi, On the (p; h)-convex function and some integral inequalities, J. Inequal. Appl., 2014 (45) (2014), 16 pages.10.1186/1029-242X-2014-45Search in Google Scholar

[3] 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.Search in Google Scholar

[4] Ch. Hermite, Sur deux limites d'une intégrale définie, Mathesis, 3 (1883), 82{83.Search in Google Scholar

[5] İ. İşcan, On generalization of different type integral inequalities for s-convex functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 2(1) (2014), 55-67.10.36753/mathenot.207633Search in Google Scholar

[6] İ. İşcan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat., 43 (6) (2014), 935-942.10.15672/HJMS.2014437519Search in Google Scholar

[7] İ. İşcan, Ostrowski type inequalities for p-convex functions, doi:10.13140/RG.2.1.1028.5209, Available online at https://www.researchgate.net/publication/299593487Search in Google Scholar

[8] İ. İşcan, Hermite-Hadamard type inequalities for p-convex functions, doi:10.13140/RG.2.1.2339.2404. Available online at https://www.researchgate.net/publication/299594155.Search in Google Scholar

[9] İ. İşcan, Hermite-Hadamard and Simpson-like type inequalities for differantiable p-quasi-convex functions, doi:10.13140/RG.2.1.2589.4801, Available online at https://www.researchgate.net/publication/299610889.Search in Google Scholar

[10] U.S. Kırmacı, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Compt., 147(1)(2004), 137-146.10.1016/S0096-3003(02)00657-4Search in Google Scholar

[11] M. Kunt, İ. İşcan, N. Yazıcı, U. Gözütok, On new inequalities of Hermite-Hadamard-Fejér type for harmonically convex functions via fractional integrals, Springerplus 5:635 (2016), 1-19.10.1186/s40064-016-2215-4487055127330901Search in Google Scholar

[12] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations. Elsevier, Amsterdam (2006).Search in Google Scholar

[13] M. V. Mihai, M. A. Noor, K. I. Noor, M. U. Awan, New estimates for trapezoidal like inequalities via differentiable (p; h)-convex functions, doi:10.13140/RG.2.1.5106.5046, Available online at https://www.researchgate.net/publication/282912293Search in Google Scholar

[14] M. A. Noor, K. I. Noor, M. V. Mihai, M. U. Awan, Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions, doi:10.13140/RG.2.1.2485.0648, Available online at https://www.researchgate.net/publication/282912282.Search in Google Scholar

[15] K.-L. Tseng, G.-S. Yang and K.-C. Hsu, Some inequalities for differentiable mappings and applications to Fejér inequality and weighted trapezoidal formula, Taiwanese journal of Mathematics, 15(4) (2011), 1737-1747.10.11650/twjm/1500406376Search in Google Scholar

[16] J. Wang, X. Li, M. Fečkan and Y. Zhou, Hermite-Hadamard-type inequalities for Riemann- Liouville fractional integrals via two kinds of convexity, Appl. Anal., 92(11) (2012), 2241-2253. doi:10.1080/00036811.2012.727986Search in Google Scholar

[17] K. S. Zhang, J. P. Wan, p-convex functions and their properties, Pure Appl. Math. 23(1) (2007), 130-133.Search in Google Scholar