Results 91 to 100 of about 3,513 (190)

Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions

Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta, Marcel Schweitzer, Valeria Simoncini   +2 more
wiley   +1 more source

Matrix Hermite–Hadamard type inequalities for bivariate convex functions

Journal of Inequalities and Applications
Considering convexity as well as matrix convexity for bivariate functions, we investigate the well-known Hermite–Hadamard inequality. In the case of separately convex bivariate functions, we present some majorization and norm inequalities. In the case of
Mohsen Kian, Mohsen Rostamian Delavar
doaj   +1 more source

On multiparametrized integral inequalities via generalized α‐convexity on fractal set

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.
This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu, Abdelghani Lakhdari, Fahd Jarad, Thabet Abdeljawad, Badreddine Meftah   +4 more
wiley   +1 more source

New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

Fractal and Fractional, 2019
In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
doaj   +1 more source

Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this paper, we present a new version of Simpson‐type inequalities for differentiable functions defined on a subinterval of the positive real axis. The approach involves a nonnegative integrable weight function and provides an identity that refines the classical Simpson inequality by incorporating the first derivative of the function. A key aspect of
Hasan Öğünmez, Mehmet Zeki Sarikaya, Ivan Giorgio   +2 more
wiley   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani, Rabha W. Ibrahim, Khalil Ezzinbi   +2 more
wiley   +1 more source

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source

Estimations of the Disparity Between Hydrogen Ion Concentration and pH in the Context of Caputo–Fabrizio Fractional Integrals via Convexity

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Atiq Ur Rehman, Ndolane Sene, Nikhil Khanna   +5 more
wiley   +1 more source

On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Fractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş, Yeter Erdaş, Tekin Toplu, Erhan Set   +3 more
doaj   +1 more source