Results 41 to 50 of about 565 (106)
Maximum Likelihood Estimation of Functionals of Discrete Distributions
, 2017 We consider the problem of estimating functionals of discrete distributions, and focus on tight nonasymptotic analysis of the worst case squared error risk of widely used estimators.
Han, Yanjun +3 more
core +1 more source
Shape‐preserving multivariate polynomial approximation in C[−1,1]m
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 325-333, 2004., 2004 We construct multivariate polynomials attached to a function f of m variables, m ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate Ditzian‐Totik ω2φ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function.
Ciprian S. Gal, Sorin G. Gal
wiley +1 more source
Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ
Symmetry, 2019 We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ ∈ [ - 1 , 1 ] and calculate their moments. The uniform convergence of the operator and global approximation result by means of Ditzian-Totik modulus of smoothness ...
H. Srivastava +2 more
semanticscholar +1 more source
Construction of the Kantorovich variant of the Bernstein-Chlodovsky operators based on parameter α
Journal of Mathematical Inequalities, 2022 . In this article, a new family of kantorovich variant of Chlodovsky operators is intro- duced. The authors establish some approximation theorems, such as a direct approximation by means of the Ditzian-Totik modulus of smoothness, a global approximation ...
Bo-Yong Lian, Qingbo Cai
semanticscholar +1 more source
Uncertain Dynamical Systems 2014
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Ivanka Stamova, Haydar Akca, Gani Stamov
wiley +1 more source
A pointwise approximation theorem for linear combinations of Bernstein polynomials
Abstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996 Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
wiley +1 more source
Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type
Journal of Inequalities and Applications, 2017 The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth +2 more
doaj +1 more source
, 2014 In this paper, we discuss various properties of the new modulus of smoothness \[ \omega^\varphi_{k,r}(f^{(r)},t)_p := \sup_{0 < h\leq t}\|\mathcal W^r_{kh}(\cdot) \Delta_{h\varphi(\cdot)}^k (f^{(r)},\cdot)\|_{L_p[-1,1]}, \] where $\mathcal W_\delta(x) = \
Kopotun, K. A. +2 more
core +1 more source
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials
Journal of Inequalities and Applications, 2017 The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg +2 more
doaj +1 more source
Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials [PDF]
, 2011 We survey developments, over the last thirty years, in the theory of Shape Preserving Approximation (SPA) by algebraic polynomials on a finite interval.
Kopotun, K. A. +3 more
core +2 more sources