Results 21 to 30 of about 87 (80)

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

Inequalities for Beta and Gamma functions via some classical and new integral inequalities

open access: yesJournal of Inequalities and Applications, 2000
In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
doaj  

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

Generalizations of weighted version of Ostrowski's inequality and some related results

open access: yesJournal 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
doaj  

Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
doaj   +1 more source

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

A note on Ostrowski's inequality

open access: yesJournal of Inequalities and Applications, 2005
This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is ...
Niculescu Constantin P, Florea Aurelia
doaj  

Minimal limit key polynomials

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring K[x]$K[x]$. Minimal key polynomials are useful to describe, for instance, the defect of an extension of valued fields. We use the theory of cuts on ordered abelian groups to show that the previous results on bounded sets of key polynomials
Enric Nart, Josnei Novacoski
wiley   +1 more source

Some Classical Inequalities Associated with Generic Identity and Applications

open access: yesAxioms
In this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski’s ...
Muhammad Zakria Javed   +4 more
doaj   +1 more source

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