Results 71 to 80 of about 3,504 (176)

A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]

Surveys in Mathematics and its Applications
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional ...
Büşra Betül Ergün, Hüseyin Budak
doaj  

Ostrowski type inequalities on H-type groups

Journal of Mathematical Analysis and Applications, 2010
The classical Ostrowski inequality which states that for any \(f\in C^1[a,b]\) and any \(x\in [a,b]\), \[ \Big|f(x) - \frac 1{b-a} \int_a^b f(t)dt\Big| \leq \Bigg[\frac 14 + \frac{(x-\frac{a+b}2)^2}{(b-a)^2}\Bigg](b-a) \|f'\|_\infty \] is generalized to the context of \(H\)-groups, and an inequality with best possible constant is obtained.
Lian, Bao-Sheng, Yang, Qiao-Hua
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Criteria for extension of commutativity to fractional iterates of holomorphic self‐maps in the unit disc

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract Let φ$\varphi$ be a univalent non‐elliptic self‐map of the unit disc D$\mathbb {D}$ and let (ψt)$(\psi _{t})$ be a continuous one‐parameter semigroup of holomorphic functions in D$\mathbb {D}$ such that ψ1≠idD$\psi _{1}\ne {\sf id}_\mathbb {D}$ commutes with φ$\varphi$.
Manuel D. Contreras, Santiago Díaz‐Madrigal, Pavel Gumenyuk   +2 more
wiley   +1 more source

On gMT- and gβ-convexity and the Ostrowski type inequalities

Қарағанды университетінің хабаршысы. Математика сериясы
In this study, motivated by recent results on Ostrowski-type inequalities, we introduce a new identity that serves as a basis for establishing fractional Ostrowski inequalities.
F. Lakhal, B. Meftah
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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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On multiparametrized integral inequalities via generalized α‐convexity on fractal set

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.
This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu, Abdelghani Lakhdari, Fahd Jarad, Thabet Abdeljawad, Badreddine Meftah   +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, Kavurmacı Önalan, Havva, AVCI ARDIÇ, MERVE   +2 more
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Multiplicative Harmonic P‐Functions With Some Related Inequalities

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This manuscript includes the investigation of the idea of a multiplicative harmonic P‐function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus.
Serap Özcan, Saad Ihsan Butt, Hossam A. Nabwey, Sina Etemad, Samuel Nicolay   +4 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, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
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Fuzzy Ostrowski type inequalities [PDF]

Computational & Applied Mathematics, 2003
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] I R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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