The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
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Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions [PDF]
Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Hermite-Hadamard type inequalities for the generalized k-fractional integral operators [PDF]
Journal of Inequalities and Applications, 2017 We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function.
Erhan Set +2 more
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Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Zhi Zhang, JinRong Wang, JianHua Deng
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On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals [PDF]
, 2014 WOS: 000328110600005In this paper, we initially present new some inequality of Hermite-Hadamard-type for co-ordinated convex functions on a rectangle from the plane (2) via Riemann-Liouville fractional integrals.
Sarıkaya, Mehmet Zeki
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Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions [PDF]
Le Matematiche, 2015 By utilizing two fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Shenda Liu, JinRong Wang
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ON REFINEMENTS of HERMITE–HADAMARD TYPE INEQUALITIES with GENERALIZED FRACTIONAL INTEGRAL OPERATORS [PDF]
, 2021 In this paper we establish the refinements of Hermite-Hadamard type inequalities for generalized fractional integral operator through the instrument of convex functions. © 2021 Asian Journal of Dairy and Food Research.
Hüseyin Budak +4 more
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Generalization of hadamard-type trapezoid inequalities for fractional integral operators [PDF]
, 2021 The role of convexity theory in applied problems, especially in optimization problems, is well known. The integral Hermite-Hadamard inequality has a special place in this theory since it provides an upper bound for the mean value of a function.
Bayraktar, Bahtiyar +1 more
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(p,h)-Convex Functions Associated with Hadamard and Fejér-Hadamard Inequalities via k-Fractional Integral Operators [PDF]
, 2022 In this article, generalized versions of the k-fractional Hadamard and Fejér-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function
Xiujun Zhang +3 more
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On Hermite-Hadamard type inequalities for multiplicative fractional integrals [PDF]
Miskolc Mathematical Notes, 2020 In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving multiplicative fractional integrals.
Budak, H., Özcelik, K.
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