Results 41 to 50 of about 3,593 (185)
The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]
, 1998 We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Dragomir, Sever S +2 more
core
Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]
The Journal of Analysis, 2019 In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the considered formulas are also given. Two-point Ostrowski-Gruss type inequalities are pointed out.
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Generalized perturbed Ostrowski-type inequalities
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2022 Summary: We present new perturbed inequalities of Ostrowski-type, for twice differentiable functions with absolutely continuous first derivative and second-order derivative in some \(L^p\)-space for \(1\leq p\leq \infty\).
Bohner, Martin +4 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
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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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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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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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
Ostrowski type inequalities for convex functions
Tamkang Journal of Mathematics, 2014 In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin +2 more
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On Ostrowski type inequalities and Cebysev type inequalities with applications
Filomat, 2015 In this paper, we obtain some new Ostrowski type inequalities and Cebysev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to Lp spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.
Kiriş, Mehmet Eyüp +1 more
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