Results 31 to 40 of about 222 (166)

General Opial Type Inequality and New Green Functions

open access: yesAxioms, 2022
In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj   +2 more
doaj   +1 more source

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

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

An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications

open access: yesMathematical Modelling and Analysis, 2016
We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given.
Samet Erden   +2 more
doaj   +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

Generalized perturbed Ostrowski-type inequalities

open access: yesAnnales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2022
Summary: We present new perturbed inequalities of Ostrowski-type, for twice differentiable functions with absolutely continuous first derivative and second-order derivative in some \(L^p\)-space for \(1\leq p\leq \infty\).
Bohner, Martin   +4 more
openaire   +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

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

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source

Ostrowski type inequalities for convex functions

open access: yesTamkang Journal of Mathematics, 2014
In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin   +2 more
openaire   +3 more sources

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