Results 21 to 30 of about 13,221 (124)

Some approximation results on a class of new type λ-Bernstein polynomials

open access: yesJournal of Mathematical Inequalities, 2022
. The main concern of this article is to acquire some approximation properties of a new class of Bernstein polynomials based on B´ezier basis functions with shape parameter λ ∈ [ − 1 , 1 ] .
R. Aslan, M. Mursaleen
semanticscholar   +1 more source

The Hodge theory of Soergel bimodules [PDF]

open access: yes, 2014
We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter systems.
Elias, Ben, Williamson, Geordie
core   +1 more source

Application of Transcendental Bernstein Polynomials for Solving Two‐Dimensional Fractional Optimal Control Problems

open access: yesComplex, 2022
The aim of this study is to introduce a novel method to solve a class of two‐dimensional fractional optimal control problems. Since there are some difficulties solving these problems using analytical methods, thus finding numerical methods to approximate
F. Ghomanjani   +2 more
semanticscholar   +1 more source

Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative

open access: yesSymmetry, 2023
The focus of the research presented in this paper is on a new generalized family of degenerate three-variable Hermite–Appell polynomials defined here using a fractional derivative.
S. Wani   +3 more
semanticscholar   +1 more source

Drinfeld Functor and Finite-Dimensional Representations of Yangian

open access: yes, 1998
We extend the results of Drinfeld on Drinfeld functor to the case l>n. We present the character of finite-dimensional representations of the Yangian Y(sl_n) in terms of the Kazhdan-Lusztig polynomials as a consequence.Comment: Latex2e, 17pages, corrected
Arakawa, Tomoyuki
core   +1 more source

On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ

open access: yesSymmetry, 2021
This paper deals with several approximation properties for a new class of q-Bernstein polynomials based on new Bernstein basis functions with shape parameter λ on the symmetric interval [−1,1]. Firstly, we computed some moments and central moments. Then,
Qingbo Cai, R. Aslan
semanticscholar   +1 more source

Systematic Errors in Future Weak Lensing Surveys: Requirements and Prospects for Self-Calibration

open access: yes, 2005
We study the impact of systematic errors on planned weak lensing surveys and compute the requirements on their contributions so that they are not a dominant source of the cosmological parameter error budget.
B. Jain   +5 more
core   +1 more source

Generalised Heine-Stieltjes and Van Vleck polynomials associated with degenerate, integrable BCS models

open access: yes, 2012
We study the Bethe Ansatz/Ordinary Differential Equation (BA/ODE) correspondence for Bethe Ansatz equations that belong to a certain class of coupled, nonlinear, algebraic equations.
Links, Jon, Marquette, Ian
core   +1 more source

Unified Degenerate Central Bell Polynomials

open access: yes, 2019
In this paper, we firstly consider extended degenerate central factorial numbers of the second kind and provide some properties of them. We then introduce unified degenerate central Bell polynomials and numbers and investigate many relations and formulas
M. Acikgoz, U. Duran
semanticscholar   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

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