Results 41 to 50 of about 3,556 (167)

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

, 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

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

Ostrowski Via a Two Functions Pompeiu's Inequality

Analele 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

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, Huseyin Budak, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities

Journal of Inequalities and Applications, 2023
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez, Muhammad Samraiz, Aman Ullah, Sajid Iqbal, Muzammil Mukhtar   +4 more
doaj   +1 more source

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, Kristina Krulić Himmelreich, Josip Pečarić   +2 more
doaj   +1 more source

Dynamic inequalities of Grüss, Ostrowski and Trapezoid type via diamond-α integrals and Montgomery identity

AIMS Mathematics
In this article, the Montgomery identity and Ostrowski inequality are established for univariate first-order diamond-alpha differentiable functions.
Marwa M. Tharwat, Marwa M. Ahmed, Ammara Nosheen, Khuram Ali Khan, Iram Shahzadi, Dumitru Baleanu, Ahmed A. El-Deeb   +6 more
doaj   +1 more source

Some Ostrowski type inequalities

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

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, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

Minimal limit key polynomials

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring K[x]$K[x]$. Minimal key polynomials are useful to describe, for instance, the defect of an extension of valued fields. We use the theory of cuts on ordered abelian groups to show that the previous results on bounded sets of key polynomials
Enric Nart, Josnei Novacoski
wiley   +1 more source