Results 41 to 50 of about 92 (88)

Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi, Ahad Hamoud Alotaibi, Silvestru Sever Dragomir, Kais Feki, Smritijit Sen   +4 more
wiley   +1 more source

Some Classical Inequalities Associated with Generic Identity and Applications

Axioms
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, Muhammad Uzair Awan, Bandar Bin-Mohsin, Hüseyin Budak, Silvestru Sever Dragomir   +4 more
doaj   +1 more source

New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz, Arslan Munir, Ather Qayyum, Mohammed Rabih, Sara Ghareeb, Smritijit Sen   +5 more
wiley   +1 more source

A Unified Sharp Integral Inequality With Applications to Trapezoid, Mid‐Point, and Simpson‐Type Inequalities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar, Mohsen Kian, Smritijit Sen   +2 more
wiley   +1 more source

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

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, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +1 more source

Some Ostrowski type inequalities

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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
wiley   +1 more source

Variants of Čebyšev's inequality with applications

Journal of Inequalities and Applications, 2006
Several variants of Čebyšev's inequality for two monotonic -tuples and also nonnegative -tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given.
Pečarić J, Bakula M Klaričić, Matković A   +2 more
doaj  

An Optimal Preconditioned MINRES Method for Symmetrized Multilevel Block Toeplitz Systems With Applications

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
wiley   +1 more source

Understanding multiple pathways of the impacts of socio‐economic shocks on large carnivores

People 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, Altynai Adabaeva, Sixto Angulo, Rosario Arispe, Matthias Baumann, Arash Ghoddousi, Amirhossein Khaleghi Hamidi, Martin Jansen, Leili Khalatbari, Igor Khorozyan, Oswaldo Maillard, Daniel Müller, Alfredo Romero‐Mũnoz, Tatjana Rosen, Damian Rumiz, Alex Soshin, Gholam Hosein Yusefi, Tobias Kümmerle   +17 more
wiley   +1 more source