Results 61 to 70 of about 303 (160)

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

open access: yesSurveys 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

open access: yesJournal 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
openaire   +2 more sources

An Optimal Preconditioned MINRES Method for Symmetrized Multilevel Block Toeplitz Systems With Applications

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.
ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
wiley   +1 more source

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

open access: yesҚарағанды 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
doaj   +1 more source

Understanding multiple pathways of the impacts of socio‐economic shocks on large carnivores

open access: yesPeople and Nature, Volume 7, Issue 11, Page 3104-3125, November 2025.
Abstract Large carnivores are ecologically, economically and socially important, but they are also among the most threatened species worldwide. These species face numerous threats, most importantly habitat transformation, prey depletion and hunting.
Ranjini Murali   +17 more
wiley   +1 more source

Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]

open access: yesThe 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.
openaire   +3 more sources

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

open access: yesMathematical 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

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

On generalizations of some integral inequalities via lidstone green functions

open access: yesMathematical and Computer Modelling of Dynamical Systems
In this paper, we generalize the classical Hermite-Hadamard, Ostrowski, and Simpson type integral inequalities by using Lidstone interpolation polynomials and their associated Green functions.
Rubayyi T. Alqahtani   +1 more
doaj   +1 more source

Fuzzy Ostrowski type inequalities [PDF]

open access: yesComputational & 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.
openaire   +3 more sources

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