Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Generalized fractional integral operators"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 10, Pp 19167-19179 (2022)
For generalizations of concepts of different fields fractional derivative operators as well as fractional integral operators are useful notions. Our aim in this paper is to discuss boundedness of the integral operators which contain Mittag-Leffler fu
Externí odkaz:
https://doaj.org/article/883f0371c97645b89a76249f8a98340a
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 6454-6468 (2021)
Recently, a generalization of convex function called exponentially (α,h−m)-convex function has been introduced. This generalization of convexity is used to obtain upper bounds of fractional integral operators involving Mittag-Leffler (ML) function
Externí odkaz:
https://doaj.org/article/0cbc492b97e44e148da48bd052d31804
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6030-6042 (2020)
In this paper, we establish generalized fractional versions of Hermite-Hadamard inequalities for exponentially (α, h − m)-convex functions, exponentially (h − m)-convex functions and exponentially (α, m)-convex functions. These inequalities ari
Externí odkaz:
https://doaj.org/article/d548fda1c7004dd0ba7679b1524de148
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
Abstract This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity. In particular, the established bounds are studied for convex functi
Externí odkaz:
https://doaj.org/article/41eeab29076440f79c7e37107b309f95
Boundedness of fractional integral operators containing Mittag-Leffler functions via (s,m)-convexity
Publikováno v:
AIMS Mathematics, Vol 5, Iss 2, Pp 966-978 (2020)
The objective of this paper is to derive the bounds of fractional integral operators which contain Mittag-Leffler functions in the kernels. By using (s,m)-convex functions bounds of these operators are evaluated which lead to obtain their boundedness
Externí odkaz:
https://doaj.org/article/c79bea692f1d4c5c978cac8502a750db
Publikováno v:
AIMS Mathematics, Vol 5, Iss 1, Pp 399-407 (2020)
In this article, we established generalized version of unified integral inequalities, comprising pathway fractional operators related to bounded functions whose bounds are also bounded functions. We reduce these results in some useful particular form
Externí odkaz:
https://doaj.org/article/6bfb24a5424a4bc38eda9f2ceea394f2
Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 131 (2022)
In this paper, we obtain reverse Minkowski inequalities pertaining to new weighted generalized fractional integral operators. Moreover, we derive several important special cases for suitable choices of functions. In order to demonstrate the efficienc
Externí odkaz:
https://doaj.org/article/54d28388b1664188aa08ce1d18a8a944
Publikováno v:
Symmetry, Vol 14, Iss 3, p 492 (2022)
Convex functions are studied very frequently by means of the Hadamard inequality. A symmetric function leads to the generalization of the Hadamard inequality; the Fejér–Hadamard inequality is one of the generalizations of the Hadamard inequality t
Externí odkaz:
https://doaj.org/article/dca7803623e34753990847056d35f328
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Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-12 (2018)
Abstract In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral ope
Externí odkaz:
https://doaj.org/article/fc0f22f144c94c2182be78f63656fca0