arXiv subjects

Purshottam Narain Agrawal

Publications and source records attributed to Purshottam Narain Agrawal.

3 recordsLinked to original sources

arXiv2022

Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method

This article provides a power series summability based Korovkin type approximation theorem for any fuzzy sequence of positive linear operators. Using the notion of fuzzy modulus of smoothness, we also derive an associated approximation theorem concerning the fuzzy rate of convergence of these operators. Furthermore, through an example, we illustrate that our summability based Korovin type theorem is an advantage over the fuzzy Korovkin type theorem proved in the seminal paper by Anastassiou (Stud. Univ. Babeş-Bolyai Math. 4 (2005), 3--10).

math.GM↗

arXiv2021

On some summability methods for a q-analogue of an integral type operator based on multivariate q-Lagrange polynomials

The present paper considers a q-analogue of an operator defined by Erkuş-Duman et al. (Calcolo, 45(1) (2008), 53-67) involving q-Lagrange polynomials in several variables. The Korovkin type theorems in the settings of deferred weighted A-statistical convergence and the power series method are investigated.

math.GM↗

arXiv2021

Characterization of deferred type statistical convergence and P-summability method for operators: Applications to q-Lagrange-Hermite operator

The present work considers two important convergence techniques, namely deferred type statistical convergence and P-summability method in respect of positive linear operators. With regard to these techniques, we state and prove two general non-trivial Korovkin type approximation results for such operators. Further, we define an operator based on multivariate q-Lagrange-Hermite polynomials and exhibit the applicability of our general theorems.

math.FA↗