Results 11 to 20 of about 781,987 (311)
The Ostrowski inequality for $ s $-convex functions in the third sense
AIMS Mathematics, 2022 <abstract><p>In this paper, the Ostrowski inequality for $ s $-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose derivatives are $ s $-convex in the third sense.
Gültekin Tınaztepe +3 more
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Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions
Journal of Inequalities and Applications, 2020 In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals ...
Xiaoli Qiang +3 more
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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Generation of new fractional inequalities via n polynomials s-type convexity with applications
Advances in Difference Equations, 2020 The celebrated Hermite–Hadamard and Ostrowski type inequalities have been studied extensively since they have been established. We find novel versions of the Hermite–Hadamard and Ostrowski type inequalities for the n-polynomial s-type convex functions in
Saima Rashid +3 more
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Coordinate strongly s-convex functions and related results [PDF]
Journal of Mathematical Inequalities, 2020 Summary: In this article, we give non-trivial examples of coordinates-convex functions which are not \(s\)-convex functions. Also, we present a new class of coordinate strongly \(s\)-convex functions. We prove that every strongly \(s\)-convex function is coordinate strongly \(s\)-convex function but the converse is not generally true.
Ullah, Syed Zaheer +3 more
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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Demonstratio Mathematica, 2014 Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan +2 more
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Some generator functions for s-convex functions in the fourth sense
Journal of Mathematical Inequalities, 2022 In this paper, the author studies some generator functions for \(s\)-convex functions and their properties in the fourth sense, which are expressed via single integral or double integral representations. Examples are given to illustrate the results obtained to derive some special mean relations and the inequalities involving beta and digamma functions ...
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Advances in Difference Equations, 2021 This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined ( α , h − m ) $(\alpha ,h-m)$ -convex function. The established results give refinements of fractional integral inequalities for ( h − m ) $(
Chahn Yong Jung +4 more
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