Results 51 to 60 of about 46,401 (165)

General Raina fractional integral inequalities on coordinates of convex functions

open access: yesAdvances in Difference Equations, 2021
Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using ...
Dumitru Baleanu   +3 more
doaj   +1 more source

Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings

open access: yesFractal and Fractional, 2022
The purpose of this study is to define a new class of harmonically convex functions, which is known as left and right harmonically convex interval-valued function (LR-š“—-convex IV-F), and to establish novel inclusions for a newly defined class of interval-
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Extrapolation of (p, h)-convex functions

open access: yesFilomat
In recent years, some interesting multi-term refinements of interpolated and extrapolated Jensen-type inequalities for convex functions have been established. The main objective of this paper is to utilize new techniques for generalizing these types of inequalities to (p, h)-convex functions.
Zakaria Taki   +2 more
openaire   +1 more source

Trapezoidal type inequalities related to h-convex functions with applications [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Fƭsicas y Naturales. Serie A. MatemƔticas, 2018
A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection with special means, random variable and trapezoidal formula.
M. Rostamian Delavar, S. S. Dragomir
openaire   +4 more sources

Some integral inequalities for coordinated log-$ h $-convex interval-valued functions

open access: yesAIMS Mathematics, 2021
<abstract><p>We introduce and investigate the coordinated log-$ h $-convexity for interval-valued functions. Also, we prove some new Jensen type inequalities and Hermite-Hadamard type inequalities, which generalize some known results in the literature. Moreover, some examples are given to illustrate our results.</p></abstract>
Fangfang Shi   +3 more
openaire   +3 more sources

Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator

open access: yesAIMS Mathematics, 2021
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator.
Lanxin Chen   +5 more
openaire   +3 more sources

Weighted Simpson type inequalities for h-convex functions

open access: yesThe Journal of Nonlinear Sciences and Applications, 2017
Summary: In this paper we establish some weighted Simpson type inequalities for functions whose derivatives in absolute value are \(h\)-convex.
openaire   +3 more sources

Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite–Hadamard Inequalities

open access: yesAxioms
In this paper, we study right quantum calculus on finite intervals with respect to another function. We present new definitions on the right quantum derivative and right quantum integral of a function with respect to another function and study their ...
Asawathep Cuntavepanit   +2 more
doaj   +1 more source

On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]

open access: yesSahand Communications in Mathematical Analysis
This study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators. Ā The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz   +2 more
doaj   +1 more source

Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications

open access: yesJournal of Mathematics, 2020
In this paper, the authors investigated the concept of s,m-exponential-type convex functions and their algebraic properties. New generalizations of Hermite–Hadamard-type inequality for the s,m-exponential-type convex function ψ and for the products of ...
Artion Kashuri   +5 more
doaj   +1 more source

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