Results 41 to 50 of about 9,064 (154)
Journal of Function Spaces, 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 strongly generalized convex functions
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
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On Generalized Convex Functions [PDF]
Transactions of the American Mathematical Society, 1945 Beckenbach, E. F., Bing, R. H.
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Generalized (h,r)-Harmonic Convex Functions and Inequalities
International Journal of Analysis and Applications, 2018 The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions.
Muhammad Aslam Noor +3 more
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Inequalities via generalized log m-convex functions
The Journal of Nonlinear Sciences and Applications, 2017 Summary: The main objective of this paper is to introduce and investigate a new class of convex functions, which is called as generalized \(\log m\)-convex function. Some new Hermite-Hadamard type of integral inequalities via generalized \(\log m\)-convex functions are obtained. Several special cases are also discussed.
Noor, Muhammad Aslam +4 more
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Study of fractional integral inequalities involving Mittag-Leffler functions via convexity
Journal of Inequalities and Applications, 2020 This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for ( α , h − m ) $(\alpha, h-m)
Zhihua Chen +4 more
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Generalized n-Polynomial p-Convexity and Related Inequalities
MathematicsIn this paper, we construct a new class of convex functions, so-called generalized n-polynomial p-convex functions. We investigate their algebraic properties and provide some relationships between these functions and other types of convex functions.
Serap Özcan, Luminiţa-Ioana Cotîrlă
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Coincidence of Nodes for Generalized Convex Functions [PDF]
Canadian Mathematical Bulletin, 1980 In a recent paper [1] I. B. Lazarevic announced an extension of results of L. Tornheim [2; Theorems 2 & 3] concerning points of contact between two distinct members of an n-parameter family and between a member of an n-parameter family and a corresponding convex function.
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Generalized s-Convex Functions on Fractal Sets
Abstract and Applied Analysis, 2014 We introduce two kinds of generalized s-convex functions on real linear fractal sets Rα ...
Huixia Mo, Xin Sui
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Generalization of Completely Convex Functions [PDF]
Proceedings of the National Academy of Sciences, 1941 Boas, R. P. jun., Pólya, George
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