Results 41 to 50 of about 21,859 (214)
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
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Generalization and improvement of Ostrowski type inequalities
AIP Conference Proceedings, 2018 The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarikaya, Mehmet Zeki +1 more
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Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
wiley +1 more source
An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications
Mathematical Modelling and Analysis, 2016 We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given.
Samet Erden +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan +4 more
wiley +1 more source
Arab Journal of Mathematical Sciences, 2015 In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
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Inequalities of Ostrowski Type in Two Dimensions [PDF]
Rocky Mountain Journal of Mathematics, 2005 A weighted version of Ostrowski type inequality in two dimensions is established. An ordinary generalization of Ostrowski's inequality in two dimensions and a corresponding Ostrowski-Grüss inequality are also derived.
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BETTER BOUNDS FOR AN INEQUALITY OF THE OSTROWSKI TYPE WITH APPLICATIONS [PDF]
Demonstratio Mathematica, 2001 The authors improve an Ostrowski type inequality due to Matić, Pečarić and Ujević and apply it in the theory of special means, as well as in the theory of cumulative probability functions. The method is essentially based on the so-called Korkine identity: \[ \begin{multlined} {1\over b-a} \int^b_a g(t) h(t) dt- {1\over b-a} \int^b_a g(t) dt\cdot{1\over
Barnett, Neil S +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source