Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Riemann–Liouville fractional integral operators"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fracti
Externí odkaz:
https://doaj.org/article/4fba27a38f2b43ee9b08a19b4035dc95
Akademický článek
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Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 882-892 (2021)
The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially $(s, m)$-convex functions via $k$-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known f
Externí odkaz:
https://doaj.org/article/dad6efb5815144df81386c12cdd85116
Publikováno v:
International Journal of Industrial Electronics, Control and Optimization, Vol 4, Iss 3, Pp 299-311 (2021)
This article aims to introduce a modern numerical method based on the hybrid functions, consisting of the Bernoulli polynomials and Block-Pulse functions. An indirect approach is proposed for solving the fractional optimal control problems (FOCPs). F
Externí odkaz:
https://doaj.org/article/71a45075d9404f49a0a08b7e2f9c7b27
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 223 (2023)
This paper’s main goal is to introduce left and right exponential trigonometric convex interval-valued mappings and to go over some of their important characteristics. Additionally, we demonstrate the Hermite–Hadamard inequality for interval-valu
Externí odkaz:
https://doaj.org/article/a0763c124b5340ada524758799fa0022
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 215 (2023)
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The resu
Externí odkaz:
https://doaj.org/article/86111e1c056a4a1fb806701cbf6791e9
Autor:
Eze R. Nwaeze
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-11 (2019)
Abstract Using the newly introduced fractional integral operators in (Fasc. Math. 20(4):5-27, 2016) and (East Asian Math. J. 21(2):191-203, 2005), we establish some novel inequalities of the Hermite–Hadamard type for functions whose second derivati
Externí odkaz:
https://doaj.org/article/4bafc18d40d84cd7a3148d281230f805
Publikováno v:
Mathematics, Vol 10, Iss 19, p 3491 (2022)
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to ob
Externí odkaz:
https://doaj.org/article/8da2cbc30de440dcbad88bb787457f32
Autor:
Hari Mohan Srivastava, Soubhagya Kumar Sahoo, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Yasser S. Hamed
Publikováno v:
Fractal and Fractional, Vol 6, Iss 4, p 212 (2022)
In this study, we focus on the newly introduced concept of LR-convex interval-valued functions to establish new variants of the Hermite–Hadamard (H-H) type and Pachpatte type inequalities for Riemann–Liouville fractional integrals. By presenting
Externí odkaz:
https://doaj.org/article/907ebd8e2abf46289913bdd4ad053bea
Akademický článek
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