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 …

In this work, the total order relation between two intervals is used to define cr-
superquadraticity. Some fundamental properties of cr-superquadratic functions are …

The utilization of local fractional calculus to investigate inequalities has become a
widespread research method, which has enriched the theory of inequalities. The current …

In the present paper, we first establish a general parameterized identity for local fractional
twice differentiable functions involving extended fractal–fractional integral operators. Thus …

We firstly study∗ integrability and commutativity for multiplicative fractional integrals with
exponential kernels, proposed by Peng et al.(2022). Secondly, making use of such …

We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-
Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We …

First, we establish the parametrized integral identity and its improved version via Atangana–
Baleanu (AB) fractional integrals. For the focus of this paper, we utilize the resulting …

In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable
functions in terms of fractional integral operators. Based on this new identity, some …

Applying the local fractional integrals, a generalized identity involving the local second-order
differentiable map**s is first developed in this paper. A series of fractal integral …

The purpose of this article is to provide a number of Hermite–Hadamard and Fejér type
integral inequalities for a class of hh‐superquadratic functions. We then develop the …