Simpson inequalities for differentiable convex functions and their fractional versions have
been studied extensively. Simpson type inequalities for twice differentiable functions are …

Information preciseness on Internet, especially on social media, is an increasingly important
concern, but web-scale data hampers, ability to identify, evaluate and correct such data, or …

In the frame of fractional calculus, the term convexity is primarily utilized to address several
challenges in both pure and applied research. The main focus and objective of this review …

In this paper, we introduce the generalized k-fractional integral in terms of a new parameter
k> 0 k>0, present some new important inequalities of Pólya–Szegö and Čebyšev types by …

Certain inequalities via generalized proportional Hadamard fractional integral operators |
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account …

We develop a fresh family of functions, called as multiplicatively (P, m)-convex functions. In
this direction, we study the properties of such type functions, and establish integer-order …

In this paper, we prove some new Newton's type inequalities for differentiable convex
functions through the well-known Riemann–Liouville fractional integrals. Moreover, we …

The authors discover a general k-fractional integral identity with multi-parameters for twice
differentiable functions. By using this integral equation, the authors derive some new bounds …

We establish some Newton's type inequalities in the case of differentiable convex functions
through the well-known Riemann–Liouville fractional integrals. Furthermore, we give an …

The aim of this paper is to study the fractional Hadamard inequalities for Caputo fractional
derivatives of strongly convex functions. We obtain refinements of two known fractional …