In this paper, we present a multiplicative fractional integral identity. Based upon it, we
establish the Hermite–Hadamard type inequalities for multiplicatively convex functions via …

Logistic and Gompertz growth equations are the usual choice to model sustainable growth
and immoderate growth causing depletion of resources, respectively. Observing that the …

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 numerical analysis, Weddle's formula is a pivotal tool for approximating definite integrals.
The approximation of the definite integrals plays a significant role in numerical methods for …

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 …

This study introduces weighted Newton-type inequalities for diverse function classes via
Riemann–Liouville fractional integrals. We begin by employing a positive weighted function …

We derive an identity for twice-differentiable functions whose second derivatives are convex.
By using this equality, we establish some perturbed Newton type inequalities for twice …

This work establishes some new inequalities to find error bounds for Maclaurin's formulas in
the framework of q-calculus. For this, we first prove an integral identity involving q-integral …

In this paper, we found the error bounds for one of the open Newton–Cotes formulas,
namely Milne's formula for differentiable convex functions in the framework of fractional and …

The authors of the paper present a method to examine some Newton‐type inequalities for
various function classes using Riemann‐Liouville fractional integrals. Namely, some …