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A Stancu variant of Beta-Szász operators
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Vijay Gupta
Published/Copyright:
February 13, 2014
Abstract.
In the present paper we study the Stancu variant of the Beta-Szász operators. We establish a direct result in terms of the modulus of continuity and an asymptotic formula in simultaneous approximation for these operators.
Keywords: Pochhammer–Berens confluent hypergeometric function; simultaneous approximation; asymptotic formula; modulus of continuity; Beta-Szász–Stancu operators
The author is thankful to the reviewer for valuable comments leading to the better presentation of the paper.
Received: 2012-10-03
Revised: 2013-06-21
Accepted: 2013-06-24
Published Online: 2014-02-13
Published in Print: 2014-03-01
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
