On Shepard–Gupta-type operators

IFS-Type Operators on Integral Transforms

Most standard fractal image compression techniques rely on using an IFS operator directly on the image function. Sometimes, however , it is more convenient to work on a faithful representation of the image which, in certain applications, may be a transformed version of the image. For example, if an MRI image is scanned in as frequency data it may be more natural to work on the Fourier transform...

On certain q-Durrmeyer type operators

Deo [5] introduced n-th Durrmeyer operators defined for functions integrable in some interval I. There are gaps and mistakes in some of his lemmas and theorems. Further, in his paper [4] he did not give results on simultaneous approximation as the title reveals. The purpose of this paper is to correct those mistakes. AMS subject classifications: 41A25, 41A30

Volterra-Type Operators on Zygmund Spaces

Direct result on exponential-type operators

In this paper, we obtain a direct result and Voronovskaya type asymptotic formula for the exponential-type operators in simultaneous approximation with polynomial growth. In the end, we obtain the recurrence formulae for the central moments, direct results and Voronovskaya type asymptotic formulae for the various mixed summation-integral type operators. 2000 AMS Subject Classification. 41A28, 4...

On Certain Baskakov-durrmeyer Type Operators

This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.