Results 41 to 50 of about 3,580 (186)

Ostrowski Via a Two Functions Pompeiu's Inequality

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results.
Dragomir Silvestru Sever
doaj   +1 more source

The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]

open access: yes, 1998
We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Dragomir, Sever S   +2 more
core  

New generalization fractional inequalities of Ostrowski-Gr\"uss type

open access: yes, 2012
In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
core   +1 more source

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

open access: yesJournal 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 access: yesOpen 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
doaj   +1 more source

An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

open access: yesMathematical 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
doaj   +1 more source

General Opial Type Inequality and New Green Functions

open access: yesAxioms, 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
doaj   +1 more source

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

open access: yesJournal 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

Some Ostrowski type inequalities

open access: yesMathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

open access: yesJournal 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

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