Results 51 to 60 of about 4,396 (195)

On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals

open access: yesAdvances in Difference Equations, 2021
In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters.
Hüseyin Budak   +2 more
doaj   +1 more source

The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]

open access: yes, 1998
We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Dragomir, Sever S   +2 more
core  

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

open access: yesJournal 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
wiley   +1 more source

New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation

open access: yesInternational Journal of Analysis and Applications, 2016
We establish a new generalization of weighted Ostrowski type inequality for mappings of bounded variation. Spacial cases of this inequality reduce some well known inequalities.
Huseyin Budak   +2 more
doaj   +2 more sources

Tropical bounds for eigenvalues of matrices

open access: yes, 2013
We show that for all k = 1,...,n the absolute value of the product of the k largest eigenvalues of an n-by-n matrix A is bounded from above by the product of the k largest tropical eigenvalues of the matrix |A| (entrywise absolute value), up to a ...
Akian, Marianne   +2 more
core   +5 more sources

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

open access: yesJournal 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
wiley   +1 more source

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources

Nontriviality of rings of integral‐valued polynomials

open access: yesMathematische 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
wiley   +1 more source

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

A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities

open access: yesJournal of Inequalities and Applications, 2023
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

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