3 citations · 5 across the 9 of their papers we have counts for
10 papers
Approximation by Certain Complex Nevai Operators : Theory and Applications
Priyanka Majethiya, Shivam Bajpeyi
The approximation of complex-valued functions is of fundamental importance as it generalizes classical approximation theory to the complex domain, providing a rigorous framework fo…
Approximation by multivariate neural network operators in mixed norm space: theory and application
Priyanka Majethiya, Shivam Bajpeyi
On the one hand, the framework of mixed norm spaces has potential applications in different areas of mathematics. On the other hand, neural network (NN) operators are well establis…
Constructive Approximation in Mixed norm Spaces
Priyanka Majethiya, Shivam Bajpeyi, Dhiraj Patel
The concept of mixed norm spaces has emerged as a significant interest in fields such as harmonic analysis. In addition, the problem of function approximation through sampling seri…
Random Sampling of Mellin Band-limited Signals
Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan
In this paper, we address the random sampling problem for the class of Mellin band-limited functions BT which is concentrated on a bounded cube. It is established that any function…
Certain Approximation Results for Kantorovich Exponential Sampling Series
Shivam Bajpeyi, A. Sathish Kumar, P. Devaraj
In this paper, we study a strong inverse approximation theorem and saturation order for the family of Kantorovich exponential sampling operators. The class of log-uniformly continu…
Approximation by Durrmeyer type Exponential Sampling Series
Shivam Bajpeyi, A. Sathish Kumar
In this article, we analyze the approximation properties of the new family of Durrmeyer type exponential sampling operators. We derive the point-wise and uniform approximation theo…
On Bivariate Kantorovich Exponential Sampling Series
Prashant Kumar, A. Sathish Kumar, Shivam Bajpyei
We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya typ…
On Approximation by Kantorovich Exponential Sampling Operators
B. Shivam, A. Sathish Kumar
In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates f…
Approximation by Exponential Type Neural Network Operators
S. Bajpeyi, A. Sathish Kumar
In the present article, we introduce and study the behaviour of the new family of exponential type neural network operators activated by the sigmoidal functions. We establish the p…
Direct and inverse results for Kantorovich type exponential sampling series
Sathish Kumar Angamuthu, Shivam Bajpeyi
In this article, we analyze the behaviour of the new family of Kantorovich type exponential sampling series. We obtain the point-wise approxi mation theorem and Voronovskaya type t…