Open AccessJournal Article
An Estimate of the Rate of Convergence of Modified Baskakov Operators for Functions of Bounded Variation
Vijay Gupta,G. Srivastava +1 more
TLDR
In this article, the authors studied the convergence rate of modified Baskakov operators for function of bounded variation, using some results of probability theory, and showed that the convergence of these operators is bounded.Abstract:
In this paper, we study the rate of convergence of modified Baskakov operators for function of bounded variation, using some results of probability theory.read more
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Journal ArticleDOI
Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators
Vijay Gupta,Ulrich Abel +1 more
TL;DR: A Bezier-Durrmeyer integral variant of the Baskakov operators is considered and the rate of convergence for functions of bounded variation is studied.
Book ChapterDOI
Rate of Convergence in Simultaneous Approximation
Vijay Gupta,Ravi P. Agarwal +1 more
TL;DR: In the theory of approximation, the study of the rate of convergence in simultaneous approximation is also an interesting area of research as discussed by the authors, and several researchers have worked in this direction; some of them have obtained the convergence rate for bounded/bounded variation functions in simultaneous approximations.
Book ChapterDOI
Convergence for Bounded Functions on Bézier Variants
Vijay Gupta,Ravi P. Agarwal +1 more
TL;DR: The various Bezier variants of the approximation operators are important research topics in approximation theory and have close relationships with geometry modeling and design.
Book ChapterDOI
Rate of Convergence for Functions of Bounded Variation
Vijay Gupta,Ravi P. Agarwal +1 more
TL;DR: In this paper, a function is with bounded variation (BV) if and only if it can be represented as the difference of two increasing (decreasing) functions, i.e.
Book ChapterDOI
Complex Operators in Compact Disks
Vijay Gupta,Ravi P. Agarwal +1 more
TL;DR: In this paper, the Durrmeyer-type Bernstein polynomials converge uniformly to f in the open set of the Bernstein complex operators in the Euclidean space, where f is an analytic function.
Related Papers (5)
On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded Variation
On the Rate of Pointwise Convergence of Modified Baskakov Type Operators for Functions of Bounded Variation
Vijay Gupta,Karm Veer Arya +1 more