Results 61 to 70 of about 303 (160)
A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]
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
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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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
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On gMT- and gβ-convexity and the Ostrowski type inequalities
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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Understanding multiple pathways of the impacts of socio‐economic shocks on large carnivores
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
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Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]
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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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
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
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
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On generalizations of some integral inequalities via lidstone green functions
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
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Fuzzy Ostrowski type inequalities [PDF]
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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