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Öğe Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions(De Gruyter Open Ltd, 2021) Budak, Hüseyin; Kara, H.; Ali, M. A.; Khan, S.; Chu, Y.In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results. © 2021 Huseyin Budak et al., published by De Gruyter.Öğe Generalized fractional hermite-hadamard type inequalities for convex functions(Natural Sciences Publishing, 2020) Budak, Hüseyin; Ali, M. A.; Sarıkaya, Mehmet ZekiIn this article, we obtain some Hermite-Hadamard type inequalities for differentiable convex functions involving generalized fractional integrals. Some of our results are the extension of previously obtained results like (Dragomir and Agarwal in Appl. Math. Lett. 11(5): 91-95, 1998, Dragomir, Chob and Kimc in J. Math. Anal. Appl. 245(2):489-501, 2000, Yang, H. Wang and Tseng in Comput. Math. Appl. 47(2-3):207-216, 2004 and S. Qaisar et al. in J. Inequal. Appl. 2019(1):111, 2019). We also discuss some special cases. © 2020 NSP Natural Sciences Publishing Cor.Öğe Hermite-Hadamard Like Inequalities for Exponentially Subadditive Functions via Fractional Integrals(Univ Putra Malaysia Press, 2023) Abbas, S.; Ali, M. A.; Hanif, A.; Budak, HüseyinIn this work, through the Riemann-Liouville fractional integrals, we give Hermite-Hadamard type inequalities for exponentially sub-additive functions. For the product of exponentially sub-additive functions, we present fractional integral inequalities. It is also shown that the results proved here are the refinements and extensions of several existing results in the field of Hermite-Hadamard like inequalities.Öğe Montgomery identity and Ostrowski-type inequalities via quantum calculus(De Gruyter Open Ltd, 2021) Sitthiwirattham, T.; Ali, M. A.; Budak, Hüseyin; Abbas, M.; Chasreechai, S.In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities. © 2021 Thanin Sitthiwirattham et al., published by De Gruyter.Öğe New inequalities of Hermite-Hadamard type for h-convex functions via generalized fractional integrals(Natural Sciences Publishing, 2021) Ali, M. A.; Budak, Hüseyin; Sarıkaya, Mehmet ZekiIn this paper, we establish new inequalities of Hermite-Hadamard type for h-convex functions using generalized fractional integral. The results are an extension of a previous research © 2021. NSP Natural Sciences Publishing CorÖğe On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions(De Gruyter Open Ltd, 2021) Ali, M. A.; Alp, N.; Budak, Hüseyin; Chu, Y. -M.; Zhang, Z.The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities. © 2021 Muhammad Aamir Ali et al., published by De Gruyter.Öğe On some new trapezoidal inequalities for q?2 -quantum integrals via Green function(Springer Science and Business Media B.V., 2021) Ali, M. A.; Alp, N.; Budak, Hüseyin; Agarwal, P.In this paper, we first obtain a new identity for q?2-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q?2-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q? 1 - in the newly obtained results. © 2021, Forum D'Analystes, Chennai.Öğe SOME NEW HERMITE-HADAMARD INTEGRAL INEQUALITIES IN MULTIPLICATIVE CALCULUS(Turkic World Mathematical Soc, 2021) Ali, M. A.; Abbas, M.; Budak, Hüseyin; Kashuri, A.In this paper, we tend to establish some new Hermite-Hadamard type integral inequalities for multiplicatively convex function on coordinates and for product of two multiplicatively convex functions on coordinates.
