Results 11 to 20 of about 583 (211)

Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions

Axioms, 2023
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz, Marjan Praljak   +3 more
doaj   +1 more source

Ostrowski Type Inequalities [PDF]

Proceedings of the American Mathematical Society, 1995
The following generalization of Ostrowski's inequality is given: Let \(f\in C^{n+1}([a,b])\), \(n\in\mathbb{N}\) and \(y\in [a,b]\) be fixed, such that \(f^{(k)}(y)=0\), \(k=1,\dots,n\). Then \[ \Biggl|{1\over b-a} \int^b_a f(t)dt- f(y)\Biggr|\leq {|f^{(n+1)}|_\infty\over (n+2)!} \Biggl({(y-a)^{n+2}+ (b-y)^{n+2}\over b-a}\Biggr).
openaire   +1 more source

Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
doaj   +1 more source

An Application of Hayashi’s Inequality for Differentiable Functions

Mathematics, 2022
In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.
Mohammad W. Alomari, Milica Klaričić Bakula   +1 more
doaj   +1 more source

Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial

Journal of Function Spaces, 2021
In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi, Fazilat Bibi, Ammara Nosheen, Josip Pečarić   +3 more
doaj   +1 more source

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan, Asif R. Khan, Nazia Irshad, Sumbul Khatoon   +3 more
doaj   +1 more source

General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions

Researches in Mathematics, 2022
The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.
V.F. Babenko, V.V. Babenko, O.V. Kovalenko, N.V. Parfinovych   +3 more
doaj   +1 more source

Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]

, 2006
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Holder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Holder continuous ...
Cheung, WS, Cheung, Wing Sum, Dragomir, Sever S, Dragomir, SS   +3 more
core   +1 more source

On Ostrowski type inequalities

Fasciculi Mathematici, 2016
AbstractIn this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators.
Agarwal, Ravi P., Luo, Min-Jie, Raina, R. K.   +2 more
openaire   +1 more source

Abstract Supplement Abstracts from IAS 2025, the 13th IAS Conference on HIV Science, 13 - 17 July, Kigali, Rwanda & Virtual. [PDF]

J Int AIDS Soc
Journal of the International AIDS Society, Volume 28, Issue S4, July 2025.
europepmc   +2 more sources