Results 31 to 40 of about 781,987 (311)
Fractal and Fractional, 2022 In this paper, a new type of convexity is defined, namely, the left–right-(k,h-m)-p IVM (set-valued function) convexity. Utilizing the definition of this new convexity, we prove the Hadamard inequalities for noninteger Katugampola integrals.
Vuk Stojiljković +3 more
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Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 2023 This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
Demonstratio Mathematica, 1999 Let \(0< s\leq 1\). The function \(f: I\subset[0, \infty)\to \mathbb{R}\) is called \(s\)-convex in the second sense provided \(f(au+ bv)\leq a^sf(u)+ b^sf(v)\) for all \(u,v\in I\), \(a,b\geq 0\), \(a+ b=1\). These functions have been introduced by \textit{H. Hudzik} and \textit{L. Maligranda} [Aequationes Math. 48, No.
Dragomir, Sever S., Fitzpatrick, Simon
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
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Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
, 2013 The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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Fejer inequality for s-convex functions in the fourth sense
Journal of Mathematical Inequalities, 2022 The authors consider the Fejer inequality for \(s\)-convex functions in the fourth sense. Some integral inequalities related to Fejer inequalities are presented. Finally, as applications, the bound functions are obtained for the Gauss error function, the incomplete gamma function and Fresnel integrals.
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Remarks on some inequalities for s-convex functions and applications [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Some Characterizations of General s-Convex Functions
, 2023 It is established that general s-convex functions are a new class of generalized convex functions. In a similar vein, a new class of general s-convex sets is introduced, which are generalizations of s-convex sets. Additionally, certain fundamental characteristics of general s-convex functions are discussed for both general cases and differentiable ...
Ali, Musavvir, Akhter, Ehtesham
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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]
Journal of Mahani Mathematical ResearchIn this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa +2 more
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