INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATORS

被引：4

作者：

Butt, Saad Ihsan ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Ekinci, Alper ^{[3
]}

Nadeem, Muhammad ^{[1
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, Agri, Turkey

[3] Bandirma Onyedi Eylul Univ, Dept Foreign Trade, Bandirma Vocat High Sch, Balikesir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期

关键词：

Chebyshev inequality; Polya-Szego type inequalities; GPF Polya-Szego operator; DERIVATIVES; EQUATIONS;

D O I：

10.18514/MMN.2020.3363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Polya-Szego-Chebyshev type obtained with the help of Generalized Proportional Fractional integral operators. The results have been performed by using Generalized Proportional Fractional integral operators, some classical inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor series expansion of exponential function. The findings give new approaches to some types of inequalities that have involving the product of two functions in inequality theory.

引用

页码：717 / 732

页数：16

共 50 条

[21] Minkowski-Type Inequalities Using Generalized Proportional Hadamard Fractional Integral Operators
Nale, Asha B.
Panchal, Satish K.
Chinchane, Vaijanath L.
FILOMAT, 2021, 35 (09) : 2973 - 2984
[22] Gruss-type integrals inequalities via generalized proportional fractional operators
Rashid, Saima
Jarad, Fahd
Noor, Muhammad Aslam
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
[23] Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators
Baleanu, D.
Purohit, S. D.
ABSTRACT AND APPLIED ANALYSIS, 2014,
[24] POLYA-SZEGO AND CHEBYSHEV TYPES INEQUALITIES VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION
Andric, Maja
Farid, Ghulam
Mehmood, Sajid
Pecaric, Josip
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1365 - 1377
[25] Some new integral inequalities associated with generalized proportional fractional operators
Set, Erhan
Celik, Baris
Alan, Emrullah Aykan
Akdemir, Ahmet Ocak
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (05) : 1149 - 1161
[26] On Polya-Szego Type Inequalities via K-Fractional Conformable Integrals
Rashid, Saima
Jarad, Fahd
Noor, Muhammad Aslam
Noor, Khalida Inayat
Safdar, Farhat
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (05): : 63 - 76
[27] Grüss-type integrals inequalities via generalized proportional fractional operators
Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[28] On some generalized Raina-type fractional-order integral operators and related Chebyshev inequalities
Vivas-Cortez, Miguel
Mohammed, Pshtiwan O.
Hamed, Y. S.
Kashuri, Artion
Hernandez, Jorge E.
Macias-Diaz, Jorge E.
AIMS MATHEMATICS, 2022, 7 (06): : 10256 - 10275
[29] Some New Tempered Fractional Polya-Szego and Chebyshev-Type Inequalities with Respect to Another Function
Rahman, Gauhar
Nisar, Kottakkaran Sooppy
Abdeljawad, Thabet
Samraiz, Muhammad
JOURNAL OF MATHEMATICS, 2020, 2020
[30] UNIVARIATE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITIES
Anastassiou, George A.
MATEMATICKI VESNIK, 2014, 66 (04): : 387 - 396

← 1 2 3 4 5 →