Results 31 to 40 of about 2,333 (219)
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
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
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
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Comparison of shearography to scanning laser vibrometry as methods for local stiffness identification of beams [PDF]
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
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Some Characterizations of Harmonic Convex Functions
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
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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
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On p-harmonic maps and convex functions [PDF]
8 ...
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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
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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
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Harmonic beta-convex functions involving hypergeometric functions
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
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
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
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