Results 31 to 40 of about 27,096,421 (191)
Bounds for the Čebyšev Functional of a Convex and a Bounded Function [PDF]
, 2005 Upper and lower bounds for the Čebyšev functional of a convex and a bounded function are given.
Dragomir, Sever S, Barnett, Neil S
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Some remarks ons-convex functions
Aequationes Mathematicae, 1994 The authors deal with two classes \(K^ 1_ s\) and \(K^ 2_ s\) of \(s\)- convex functions on \(\mathbb{R}_ +\). These classes have been introduced by \textit{W. Orlicz} [Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 9, 157-162 (1961; Zbl 0109.334)] and the reviewer [Publ. Inst. Math., Nouv. Sér. 23(37), 13-20 (1978; Zbl 0416.46029)], respectively.
Hudzik, H., Maligranda, L.
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More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense
Demonstratio Mathematica, 2016 Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.
Liu Zeng
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Advances in Difference Equations, 2020 In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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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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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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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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s-convex set and s-convex functions on Heisenberg group
Open Journal of Mathematical AnalysisIn this paper, we give the definitions of s-convex set and s-convex function on Heisenberg group. And some inequalities of Jensen’s type for this class of mappings are pointed out.
Chuanyang Li, Peibiao Zhao
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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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