THE MULTI-PARAMETER FRACTAL–FRACTIONAL INEQUALITIES FOR FRACTAL -CONVEX FUNCTIONS

X Yuan, H Budak, T Du - Fractals, 2024 - World Scientific
Local fractional calculus theory and parameterized method have greatly assisted in the
advancement of the field of inequalities. To continue its enrichment, this study investigates …

On Hermite–Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities

I Aldawish, M Jleli, B Samet - Axioms, 2023 - mdpi.com
Hermite–Hadamard inequality is a double inequality that provides an upper and lower
bounds of the mean (integral) of a convex function over a certain interval. Moreover, the …

PROPERTIES AND 2 α ̃-FRACTAL WEIGHTED PARAMETRIC INEQUALITIES FOR THE FRACTAL (m, h)-PREINVEX MAPPINGS

X Zhang, Y Zhou, T Du - Fractals, 2023 - World Scientific
The fractal (m, h)-preinvex map**s are put forward and their properties are investigated
firstly. Meanwhile, some fractal Hermite–Hadamard-type (HH) and Fejér–Hermite …

[HTML][HTML] Some Estimates for Certain q-analogs of Gamma Integral Transform Operators

S Al-Omari, W Salameh, S Alhazmi - Symmetry, 2024 - mdpi.com
The aim of this work is to examine some q-analogs and differential properties of the gamma
integral operator and its convolution products. The q-gamma integral operator is introduced …

Certain Class of Close-to-Convex Univalent Functions

SS Alhily, AA Lupas - Symmetry, 2023 - mdpi.com
The purpose of this paper was to define a new class of close-to-convex function, denoted by
CV (δ, α), which is a subclass of all functions that are univalent in D and have positive …

[PDF][PDF] ERROR BOUNDS OF NEWTON-COTES QUADRATURE RULES INVOLVING AT MOST FIVE POINTS VIA EXTENDED s-CONVEXITY

B MEFTAH, C MENAI - Turkish J. Ineq, 2024 - t**equality.com
BADREDDINE MEFTAH1 AND CHAIMA MENAI1 Abstract. In this paper, we propose a new
parametrized integral identity that spans several quadrature formulas. Based on this …

Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces

S Meftah, E Hadjadj, M Biomy, F Yazid - Axioms, 2023 - mdpi.com
In this work, by using the iterative method, we discuss the existence and uniqueness of
solutions for multiterm fractional boundary value problems. Next, we examine some …