Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications

被引：6

作者：

Zhou, Shuang-Shuang ^{[1
]}

Rashid, Saima ^{[2
]}

Dragomir, Silvestru Sever ^{[3
]}

Latif, Muhammad Amer ^{[4
]}

Akdemir, Ahmet Ocak ^{[5
]}

Liu, Jia-Bao ^{[6
]}

机构：

[1] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China

[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Univ Hail, Dept Basic Sci, Hail 2440, Saudi Arabia

[5] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, TR-04100 Agri, Turkey

[6] Anhui Inst Architecture & Ind, Sch Math & Phys, Hefei 230601, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

NICHOLSONS BLOWFLIES MODEL; CONJUGATE-GRADIENT METHOD; DIFFERENTIAL-EQUATIONS; NEURAL-NETWORKS; LIMIT-CYCLES; CONVERGENCE; EXISTENCE; OPTIMIZATION; STABILITY; SYSTEMS;

D O I：

10.1155/2020/5285147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present several new inequalities involving the kappa-fractional integral for the integrable function F which satisfies one of the following conditions is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.

引用

页数：14

共 81 条

[31] The concept of coordinate strongly convex functions and related inequalities [J].

Khan, Muhammad Adil ;

Ullah, Syed Zaheer ;

Chu, Yu-Ming .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) :2235-2251

[32] Discrete majorization type inequalities for convex functions on rectangles [J].

Khan, Muhammad Adil ;

Wu, Shan-He ;

Ullah, Hidayat ;

Chu, Yu-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[33] Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals [J].

Khan, Muhammad Adil ;

Khurshid, Yousaf ;

Du, Ting-Song ;

Chu, Yu-Ming .

JOURNAL OF FUNCTION SPACES, 2018, 2018

[34] Hermite-Hadamard type inequalities for fractional integrals via Green's function [J].

Khan, Muhammad Adil ;

Iqbal, Arshad ;

Suleman, Muhammad ;

Chu, Yu-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

[35] Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations [J].

Khan, Muhammad Adil ;

Chu, Yu-Ming ;

Kashuri, Artion ;

Liko, Rozana ;

Ali, Gohar .

JOURNAL OF FUNCTION SPACES, 2018, 2018

[36] Some new inequalities of Hermite-Hadamard type for s-convex functions with applications [J].

Khan, Muhammad Adil ;

Chu, Yuming ;

Khan, Tahir Ullah ;

Khan, Jamroz .

OPEN MATHEMATICS, 2017, 15 :1414-1430

[37] Hermite-Hadamard-Fejer Inequalities for Conformable Fractional Integrals via Preinvex Functions [J].

Khurshid, Yousaf ;

Khan, Muhammad Adil ;

Chu, Yu-Ming ;

Khan, Zareen Abdulhameed .

JOURNAL OF FUNCTION SPACES, 2019, 2019

[38] Conformable Integral Inequalities of the Hermite-Hadamard Type in terms of GG- and GA-Convexities [J].

Khurshid, Yousaf ;

Adil Khan, Muhammad ;

Chu, Yu-Ming .

JOURNAL OF FUNCTION SPACES, 2019, 2019

[39] The numerical solution of scattering by infinite rough interfaces based on the integral equation method [J].

Li, Jianliang ;

Sun, Guanying ;

Zhang, Ruming .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (07) :1491-1502

[40] On the analysis and application of an ion size-modified Poisson-Boltzmann equation [J].

Li, Jiao ;

Ying, Jinyong ;

Xie, Dexuan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 :188-203

← 1 2 3 4 5 6 7 8 9 →