7 citations · 14 across the 10 of their papers we have counts for
5 papers · 1 filter
Korovkin-type approximation for non-positive operators
V. B. Kiran Kumar, M. N. N. Namboodiri, P. C. Vinaya
The classical Korovkin theorem traditionally relies on the positivity of the underlying sequence of operators. In 1968, D. E. Wulbert obtained a non-positive version by exploiting…
Operator version of Korovkin Theorem; Degree of Convergence and its Applications
V. B. Kiran Kumar, P. C. Vinaya
In a recent article, Dumitru Popa proved an operator version of the Korovkin theorem. We recall the quantitative version of the Korovkin theorem obtained by O. Shisha and B. Mond i…
Revisiting Korovkin-type Theorems in Banach Function Spaces
V. B. Kiran Kumar, P C Vinaya
This article delves into Korovkin-type theorems in Banach function spaces, as established by Yusuf Zeren et al. (2022). We prove that in this theorem, the positivity of the operato…
Banach Spaces of GLT Sequences and Function Spaces
V. B. Kiran Kumar, Rahul Rajan, N. S. Sarath Kumar
The Generalized Locally Toeplitz (GLT) sequences of matrices have been originated from the study of certain partial differential equations. To be more precise, such matrix sequence…
Approximation of Entropy Numbers
K. P. Deepesh, V. B. Kiran Kumar
The purpose of this article is to develop a technique to estimate certain bounds for entropy numbers of diagonal operator on spaces of p-summable sequences for finite p greater tha…