Results 21 to 30 of about 9,064 (154)
Journal of Mathematics, 2021 In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf +3 more
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Some concepts of generalized convex functions (I)
Journal of Numerical Analysis and Approximation Theory, 2002 An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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Smoothness Properties of Generalized Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1976 We present a concise and elementary proof of a theorem of Karlin and Studden concerning the smoothness properties of functions belonging to a generalized convexity cone.
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A note on generalized convex functions
Journal of Inequalities and Applications, 2019 In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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Integral Inequalities via Generalized Geometrically r-Convex Functions
International Journal of Analysis and Applications, 2018 In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been ...
Muhammad Aslam Noor +2 more
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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators
Journal of Mathematics, 2021 Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen +2 more
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On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao +4 more
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Advances in Difference Equations, 2020 Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive field of research.
Thabet Abdeljawad +3 more
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Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces
Axioms, 2023 In this paper, we introduce a series of definitions of generalized affine functions for vector-valued functions by use of “linear set”. We prove that our generalized affine functions have some similar properties to generalized convex functions.
Renying Zeng
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