Results 31 to 40 of about 163 (133)
On the Ostrowski generalization of C̆ebyšev's inequality
Journal of Mathematical Analysis and Applications, 1984 The author states the following generalization of inequalities of \textit{A. M. Ostrowski} [Aequationes Math. 4, 358-373 (1970; Zbl 0198.081)]. Let f,g be differentiable, monotonic in the same sense, p integrable, and \((A)\quad 0\leq \int^{x}_{a}p(t)dt\leq \int^{b}_{a}p(t)dt,\) \((B)\quad | f'(x)| \geq m,\quad | g'(x)| \geq r\) on \([a,b].\) Then ...
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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. +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan +4 more
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Generalizations of weighted version of Ostrowski's inequality and some related results
Journal of Inequalities and Applications, 2000 We establish some new weighted integral identities and use them to prove a number of inequalities of Ostrowski type. Among other results, we generalize one result related to the weighted version of the Ostrowski's inequality of Pečarić and ...
Pečarić J +2 more
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A note to Ujević’s generalization of Ostrowski’s inequality
Applied Mathematics Letters, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingbiao Wu, Shijun Yang
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
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A probabilistic version of Ostrowski inequality
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nontriviality of rings of integral‐valued polynomials
Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
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Ostrowski Type Inequalities in the Grushin Plane [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heng-Xing Liu, Jing-Wen Luan
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Numerical 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
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