Results 11 to 20 of about 89,992 (292)

On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications [PDF]

Mathematics, 2019
In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite−Hadamard (HH) integral inequality.
Dongming Nie, Saima Rashid, Ahmet Ocak Akdemir, Dumitru Baleanu, Jia-Bao Liu   +4 more
doaj   +4 more sources

Inequalities Pertaining Fractional Approach through Exponentially Convex Functions [PDF]

Fractal and Fractional, 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
doaj   +2 more sources

An Opial-type integral inequality and exponentially convex functions [PDF]

Fractional Differential Calculus, 2015
In this paper a certain class of convex functions in an Opial-type integral inequality is considered. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequality. Also, a method of producing n- exponentially convex and exponentially convex functions is applied.
Maja Andrić, Ana Barbir, Sajid Iqbal, ‎Josip Pečarić   +3 more
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Stationary covariances associated with exponentially convex functions [PDF]

Bernoulli, 2003
The authors establish a bijective mapping between exponentially convex functions and positively definite functions, and extend Loève's construction of stochastic processes associated with them. As an application, they derive parametric covariance model for locally stationary random fields.
Werner Ehm, Marc G. Genton, Tilmann Gneiting   +2 more
openalex   +4 more sources

Some Novel Fractional Integral Inequalities for Exponentially Convex Functions

, 2023
There are several studies in the literature with the main motivation of obtaining new and general inequalities with the help of the Caputo-Fabrizio fractional integral operator, which attracts the attention of many researchers as an important concept in fractional analysis. In this study, new Hadamard type integral inequalities for exponentially convex
Sinan Aslan, Ahmet Ocak Akdemi̇r
openalex   +4 more sources

Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions

Ukrains’kyi Matematychnyi Zhurnal
UDC 517.5 We derive multiple inequalities employing  exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions.
D. S. Malik, Zamrooda Jabeen
openalex   +2 more sources

New General Inequalities For Exponential Type Convex Function

, 2022
In this paper, we introduce the concept of an exponential type convex function. We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Hölder Inequalities. Additionally, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish a new integral
Çetin Yıldız, Emre BAKAN, Hüseyin DÖNMEZ   +2 more
openalex   +3 more sources

Novel inequalities involving exponentially (α, m)-convex function and fractional integrals

Applied Mathematics in Science and Engineering
In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity.
Muhammad Latif, Ammara Nosheen, Khuram Ali Khan, Hafiza Bisma Ammara, Ndolane Sene, Y. S. Hamed   +5 more
doaj   +2 more sources

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

Axioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions

IEEE Access, 2020
Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
doaj   +1 more source