scholarly journals Bernstein operator of rough $I-$ core of triple sequences

2018 ◽  
Vol 2018 (2) ◽  
pp. 175-183
Author(s):  
N. Subramanian ◽  
M. Kemal Ozdemir ◽  
A. Esi
Keyword(s):  
Bernstein Operator

On αβ-statistical convergence for sequences of fuzzy mappings and Korovkin type approximation theorem

Filomat ◽  
2017 ◽  
Vol 31 (12) ◽  
pp. 3749-3760 ◽  
Author(s):  
Ali Karaisa ◽  
Uğur Kadak
Keyword(s):  
Statistical Convergence ◽  
Approximation Theorem ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Bernstein Operator ◽  
Korovkin Type Approximation Theorem ◽  
Type Approximation ◽  
Inclusion Relations ◽  
Prior Investigation

Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise ??-statistical convergence of fuzzy mappings of order ?. Also, we establish the concept of strongly ??-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to ??-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.

scholarly journals On rough convergence of triple sequence space of Bernstein operator of fuzzy numbers defined by a metric

2020 ◽  
Vol 39 (2) ◽  
pp. 261-274
Author(s):  
M. Jeyaram Bharathi ◽  
S. Velmurugan ◽  
N. Subramanian ◽  
R. Srikanth
Keyword(s):  
Sequence Space ◽  
Fuzzy Numbers ◽  
Bernstein Operator

On triple sequence space of Bernstein operator of rough Iλ- statistical convergence of weighted g(A)

2019 ◽  
Vol 36 (1) ◽  
pp. 13-27
Author(s):  
M. Jeyaram Bharathi ◽  
S. Velmurugan ◽  
N. Subramanian ◽  
R. Srikanth
Keyword(s):  
Sequence Space ◽  
Statistical Convergence ◽  
Bernstein Operator

scholarly journals The norm estimates for the $q$-Bernstein operator in the case $q>1$

2010 ◽  
Vol 79 (269) ◽  
pp. 353-353 ◽  
Author(s):  
Heping Wang ◽  
Sofiya Ostrovska
Keyword(s):  
Bernstein Operator ◽  
Norm Estimates

scholarly journals On the Numerical Solution of Fractional Boundary Value Problems by a Spline Quasi-Interpolant Operator

Axioms ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 61
Author(s):  
Francesca Pitolli
Keyword(s):  
Fractional Derivative ◽  
Boundary Value Problems ◽  
Numerical Experiments ◽  
Boundary Value ◽  
Bernstein Operator ◽  
Explicit Formulas ◽  
Shape Preserving ◽  
Engineering Control ◽  
Shape Preserving Properties ◽  
Fractional Boundary Value Problems

Boundary value problems having fractional derivative in space are used in several fields, like biology, mechanical engineering, control theory, just to cite a few. In this paper we present a new numerical method for the solution of boundary value problems having Caputo derivative in space. We approximate the solution by the Schoenberg-Bernstein operator, which is a spline positive operator having shape-preserving properties. The unknown coefficients of the approximating operator are determined by a collocation method whose collocation matrices can be constructed efficiently by explicit formulas. The numerical experiments we conducted show that the proposed method is efficient and accurate.

On the image of the limitq-Bernstein operator

2009 ◽  
Vol 32 (15) ◽  
pp. 1964-1970 ◽  
Author(s):  
Sofiya Ostrovska
Keyword(s):  
Bernstein Operator

scholarly journals The Eigenstructure of the Bernstein Operator

2000 ◽  
Vol 105 (1) ◽  
pp. 133-165 ◽  
Author(s):  
Shaun Cooper ◽  
Shayne Waldron
Keyword(s):  
Bernstein Operator

Global smoothness preservation with second order modulus of smoothness

2013 ◽  
Vol 63 (5) ◽  
Author(s):  
Gancho Tachev
Keyword(s):  
Modulus Of Smoothness ◽  
Second Order ◽  
Positive Operators ◽  
Bernstein Operator ◽  
Linear Positive Operators ◽  
Global Smoothness Preservation ◽  
Global Smoothness

AbstractWe establish the global smoothness preservation of a function f by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.

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