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On some characterizations of generalized s-convex functions
Asian-European Journal of MathematicsGeneralized [Formula: see text]-convex functions are a new class of generalized convex functions that have been established in this paper. In a similar sense, a new class of generalized [Formula: see text]-convex sets is introduced as a generalization of [Formula: see text]-convex sets.
Ehtesham Akhter, Musavvir Ali
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Some integral inequalities for s-convex functions
2017In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
SHUANG, Ye, QI, Feng
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Refinement Mappings Related to Hermite-Hadamard Type Inequalities for GA-Convex Function
Mathematics, 2022Humaira Kalsoom +2 more
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Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function
Fractal and Fractional, 2022Muhammad Tariq +2 more
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The e-support function of an e-convex set and conjugacy for e-convex functions
Journal of Mathematical Analysis and Applications, 2011Juan Enrique Martínez-Legaz +1 more
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A characterization of convex function
Applied Mathematics Letters, 2000Kok Lay Teo, Xin Min Yang, Xiao Qi Yang
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M-Convex Function on Generalized Polymatroid
Mathematics of Operations Research, 1999Akiyoshi Shioura, Kazuo Murota
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