NEW FRACTAL SIMPSON ESTIMATES FOR TWICE LOCAL DIFFERENTIABLE GENERALIZED CONVEX MAPPINGS

被引：0

作者：

Butt, S. I. ^{[1
]}

Inam, H. ^{[2
]}

Dokuyucu, M. A. ^{[3
]}

机构：

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

[2] Univ Calabria, Dept Informat Modeling Elect & Syst DIMES, ICT, Calabria, Italy

[3] Ondokuz Mayis Univ, Dept Math, Samsun, Turkiye

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2024年 / 23卷 / 04期

关键词：

Generalized Convexity; Simpson Type Inequalities; Fractal Sets; Fractional Opera- tors; Ho<spacing diaeresis>lder-Yang's-Inequality; INTEGRAL-INEQUALITIES; OPERATORS;

D O I：

10.30546/1683-6154.23.4.2024.474

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. The main focus of this research is to provide a new auxiliary results of the Simpson's notation for a local fractional function that is twice differentiable via extended-fractal integral operator. Using Ho<spacing diaeresis>lder-Yang's and Power-mean integral inequalities in conjunction with generalized convexity, we produce a series of new fractal Simpson's error estimates. Additionally, we will use improved Yang's inequalities to create new boundaries. Visual illustrations demonstrate the accuracy and supremacy of the offered technique. Applications to the c-type special, moment of random variables as well as wave-equations are given. In this work, we present an extension of previously published results.

引用

页码：474 / 503

页数：30

共 44 条

[1] Agarwal P., Dragomir S.S., Jleli M., Samet B., Advances in Mathematical Inequalities and Appli-Cations, Springer, Singapore, (2018)
[2] Ali M.A., Kara H., Tariboon J., Asawasamrit S., Budak H., Hezenci F., Some new Simpson’s-formula-type inequalities for twice-differentiable convex functions via generalized fractional operators, Symmetry, 13, 12, (2021)
[3] Akdemir A.O., Karaoglan A., Ragusa M.A., Set E., Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions, J. Funct. Spaces, 2021, 1, pp. 1-10, (2021)
[4] Andric M., Fejér type inequalities for (h, g
[5] m)-convex functions, TWMS J. Pure Appl. Math., 14, 2, pp. 185-194, (2021)
[6] Atangana A., Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system, Chaos, Soliton. Fract, 102, pp. 396-406, (2017)
[7] Atangana A., Khan M.A., Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator, Alex. Eng. J, 59, 4, pp. 1985-1998, (2020)
[8] Butt S.I., Yousaf S., Ahmad H., Nofal T.A., Jensen-Mercer inequality and related results in the fractal sense with applications, Fractals, 30, 1, (2022)
[9] Butt S.I., Yousaf S., Younas M., Ahmad H., Yao S.W., Fractal Hadamard-Mercer-type inequalities with applications, Fractals, 30, 2, (2022)
[10] Butt S.I., Nasir J., Dokuyucu M.A., Akdemir A.O., Set E., Some Ostrowski-Mercer type inequalities for differentiable convex functions via fractional integral operators with strong kernels, Appl. Comput. Math., 21, 3, pp. 329-348, (2022)

← 1 2 3 4 5 →