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On some inequalities for s-convex functions and applications [PDF]
Journal of Inequalities and Applications, 2013 Abstract Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided. MSC:26A51, 26D15.
Ozdemir, Muhamet Emin +3 more
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Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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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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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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Certain Ostrowski type inequalities for generalized s-convex functions
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized \(s\)-convex in the second sense, we obtain some new Ostrowski type inequalities.
Tomar, Muharrem +3 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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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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