# Inequality and Estimate of Generalized Pseudo-differential Operators Involving Fractional Fourier Transform

## Authors

Abhisekh Shekhar
Department of Mathematics, C. M. Science College, Darbhanga-846004, Bihar, India
Nawin Kumar Agrawal
University Department of Mathematics, Lalit Narayan Mithila University, Darbhanga-846004, Bihar, India

### Synopsis

Firstly, we define two types of generalized pseudo-differential operators with the help of symbol classes. The main objective of this paper is to obtain some inequalities of generalized pseudo-differential operators A (x, Δ’x) and A (x, Δ’x) and also discuss some estimates of these operators. In this paper we will also study the order of generalized pseudo-differential operators A (x, Δ’x) and A (x, Δ’x) and obtain some inequalities of these operators.

Published
October 10, 2022