Results 41 to 50 of about 7,574,393 (201)

A Hilbert’s type inequality with two parameters

Filomat, 2018
In this paper, by introducing a parameter ? and ?, using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
Zhang, Zhengping, Xi, Gaowen
openaire   +1 more source

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

Demonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong, Pakkaranang Nuttapol, Pholasa Nattawut   +2 more
doaj   +1 more source

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

Axioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source

A Hilbert Integral-Type Inequality with Parameters

International Journal of Mathematics and Mathematical Sciences, 2010
A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated.
Shang Xiaozhou, Gao Mingzhe
doaj   +1 more source

Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves

Mathematische Nachrichten, EarlyView.
ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu, Sun Woo Park, John Voight   +2 more
wiley   +1 more source

Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]

, 2008
Some inequalities of the Grüss Type type for the numerical radius of bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core   +2 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +1 more source

Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley   +1 more source