Results 31 to 40 of about 2,333 (219)

Some Inequalities for a New Class of Convex Functions with Applications via Local Fractional Integral

open access: yesJournal of Function Spaces, 2021
The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically ψ-s ...
Hu Ge-JiLe   +3 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

Comparison of shearography to scanning laser vibrometry as methods for local stiffness identification of beams [PDF]

open access: yes, 2013
Local stiffness of Euler–Bernoulli beams can be identified by dividing the bending moment of a deformed beam by the local curvature. Curvature and moment distributions can be derived from the modal shape of a beam vibrating at resonance. In this article,
Gu, Jun   +5 more
core   +2 more sources

Some Characterizations of Harmonic Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, we show that the harmonic convex functions have some nice properties, which convex functions enjoy. We also discuss some basic properties of harmonic convex functions. The techniques and ideas of this paper may be a starting point for future research.
Muhammad Aslam Noor   +2 more
openaire   +5 more sources

Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions

open access: yesJournal of Function Spaces, 2021
In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt   +3 more
doaj   +1 more source

New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

open access: yesJournal of Inequalities and Applications, 2020
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang   +4 more
doaj   +1 more source

Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions

open access: yesInternational Journal of Computational Intelligence Systems, 2022
The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Harmonic beta-convex functions involving hypergeometric functions

open access: yesPublications de l'Institut Mathematique, 2018
Summary: We introduce and study a new class of harmonic convex functions, which is called harmonic beta-convex functions. This new class includes several new and previously known classes of harmonic convex functions as special cases. We obtain some new integral inequalities involving hypergeometric functions.
Noor, Muhammad Aslam   +2 more
openaire   +2 more sources

A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]

open access: yesSurveys in Mathematics and its Applications, 2023
A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq   +3 more
doaj  

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