sajid mehmood - Academia.edu (original) (raw)
Uploads
Papers by sajid mehmood
The Journal of Analysis, 2017
In this paper we are interested to present the Hadamard and the Fejér-Hadamard type integral ineq... more In this paper we are interested to present the Hadamard and the Fejér-Hadamard type integral inequalities for harmonically convex functions via two sided generalized fractional integral operator. Presented results have connection with some known results about the Hadamard and the Fejér-Hadamard type inequalities for two sided Riemann-Liouville fractional integral operator.
Journal of Function Spaces, 2020
The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for e... more The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s-convex, m-convex, s,m-convex, exponentially convex, exponentially s-convex, and convex functions.
Studia Universitatis Babes-Bolyai Matematica, 2021
Fractional integral operators play a vital role in the advancement of mathematical inequalities. ... more Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej er-Hadamard inequalities for generalized fractional integral operators con- taining Mittag-Le er function. Exponentially m-convexity is utilized to establish these inequalities. By xing parameters involved in the Mittag-Le er function Hadamard and the Fej er-Hadamard inequalities for various well known fractional integral operators can be obtained.
The Journal of Analysis, 2017
In this paper we are interested to present the Hadamard and the Fejér-Hadamard type integral ineq... more In this paper we are interested to present the Hadamard and the Fejér-Hadamard type integral inequalities for harmonically convex functions via two sided generalized fractional integral operator. Presented results have connection with some known results about the Hadamard and the Fejér-Hadamard type inequalities for two sided Riemann-Liouville fractional integral operator.
Journal of Function Spaces, 2020
The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for e... more The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s-convex, m-convex, s,m-convex, exponentially convex, exponentially s-convex, and convex functions.
Studia Universitatis Babes-Bolyai Matematica, 2021
Fractional integral operators play a vital role in the advancement of mathematical inequalities. ... more Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej er-Hadamard inequalities for generalized fractional integral operators con- taining Mittag-Le er function. Exponentially m-convexity is utilized to establish these inequalities. By xing parameters involved in the Mittag-Le er function Hadamard and the Fej er-Hadamard inequalities for various well known fractional integral operators can be obtained.