ON CONFORMABLE FRACTIONAL NEWTON-TYPE INEQUALITIES

被引：1

作者：

Xu, Hongyan ^{[1
]}

Awan, Muhammad uzair ^{[2
,7
]}

Meftah, Badreddine ^{[3
]}

Jarad, Fahd ^{[4
,5
]}

Lakhdari, Abdelghani ^{[6
,7
]}

机构：

[1] Suqian Univ Suqian, Dept Math & Phys, Jiangsu 223800, Peoples R China

[2] Govt Coll Univ Gurunanakpura, Dept Math, Faisalabad 38000, Pakistan

[3] Univ 8 Mai 1945 Guelma, Fac MISM, Dept Math, Lab Anal & Control Differential Equat ACED, PO Box 401, Guelma 24000, Algeria

[4] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkiye

[5] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat, Masjid Al Aqsa St, Mubarak Al Abdullah, Kuwait

[6] Kocaeli Univ, Fac Sci & Arts, Dept Math, Umuttepe Campus, Kocaeli 41001, Turkiye

[7] Natl Higher Sch Technol & Engn, Dept CPST, Annaba 23005, Algeria

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2025年

关键词：

Conformable Fractional Integral Operators; Simpson; 3/8; Inequalities; H & ouml; lder Inequality; Power Mean Inequality; Convex Functions; OSTROWSKI TYPE INEQUALITIES; TRAPEZOID-TYPE INEQUALITIES; HADAMARD TYPE INEQUALITIES; S-CONVEX; 1ST DERIVATIVES; SIMPSONS TYPE; INTEGRALS; PREINVEX;

D O I：

10.1142/S0218348X25500458

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson's 3/8 formula and the corrected Simpson's 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations.

引用

页数：16

共 40 条

[1]

Akdemir AO, 2017, J NONLINEAR CONVEX A, V18, P661

[2] Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals [J].

Ali, Muhammad Aamir ;

Goodrich, Christopher S. S. ;

Budak, Huseyin .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

[3] Modeling the dynamic of COVID-19 with different types of transmissions [J].

Amouch, Mohamed ;

Karim, Noureddine .

CHAOS SOLITONS & FRACTALS, 2021, 150

[4] Refinement of the general form of the two-point quadrature formulas via convexity [J].

Benchettah, D. C. ;

Lakhdari, A. ;

Meftah, B. .

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2023, 19 (01) :93-101

[5]

Breckner W. W., 1978, Publ. Inst. Math., V23, P13

[6] SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS [J].

Butt, Saad Ihsan ;

Akdemir, Ahmet Ocak ;

Nasir, Jamshed ;

Jarad, Fahd .

MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) :689-715

[7] Some New Inequalities of Simpson's Type for s-convex Functions via Fractional Integrals [J].

Chen, Jianhua ;

Huang, Xianjiu .

FILOMAT, 2017, 31 (15) :4989-4997

[8]

Chen L., 2018, J. Comput. Anal. Appl., V24, P243

[9] Fundamental solutions to electrical circuits of non-integer order via fractional derivatives with and without singular kernels [J].

Gomez-Aguilar, J. F. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (05)

[10] Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functions [J].

Hezenci, F. ;

Budak, H. .

JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (03)

← 1 2 3 4 →