Zobrazeno 1 - 10
of 133
pro vyhledávání: '"fractional integral inequalities"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-14 (2024)
Abstract Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities
Externí odkaz:
https://doaj.org/article/b983307bb740457d9c326b3eb57f427d
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 364-374 (2024)
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this w
Externí odkaz:
https://doaj.org/article/8c9a780d65284e468df9d38b306020a6
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 6, Iss 3, Pp 135-141 (2023)
This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions. Compared to the previously mentioned classical inequalities, the inequalities reported i
Externí odkaz:
https://doaj.org/article/2f9b447bfb7a4892bd55aa932867a63c
Publikováno v:
Fractal and Fractional, Vol 8, Iss 4, p 180 (2024)
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators
Externí odkaz:
https://doaj.org/article/c2ee4c468feb4d748ca119180cc64615
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-18 (2023)
Abstract Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and
Externí odkaz:
https://doaj.org/article/35b83569db7a41a588c37d829bdd2d13
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 946-958 (2022)
Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and boundary value problems fo
Externí odkaz:
https://doaj.org/article/8b9df8a1a98642ac9e8f180963901df4
Akademický článek
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Publikováno v:
Open Physics, Vol 20, Iss 1, Pp 822-828 (2022)
The fractional structures of variables using Riemann–Liouville notion have been analyzed by various authors. The novel idea of this article is to introduce the new notion of weighted behavior on random variables using integral inequalities. In view
Externí odkaz:
https://doaj.org/article/eddaaa65f8d04176a86ef53247ba4a07
Publikováno v:
AIMS Mathematics, Vol 7, Iss 8, Pp 15563-15583 (2022)
Many researchers in recent years have studied fractional integrals and derivatives. Some authors recently introduced generalized fractional integrals, the so-called unified fractional integrals. In this article, we establish certain new integral ineq
Externí odkaz:
https://doaj.org/article/07d003a64248475998a5210f37814600
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 431-446 (2022)
In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form. By using these inequalities, we can provi
Externí odkaz:
https://doaj.org/article/80da6530c9834a39aa555d7f09422adf