scholarly journals A class of fractional integral operators with multi-index Mittag-Leffler k -function and Bessel k -function of first kind

2020 ◽  
Vol 22 (03) ◽  
pp. 266-281 ◽  
Author(s):  
Rana Safdar Ali ◽  
Shahid Mubeen ◽  
Muhammad Mumtaz Ahmad
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Fractional Integral Operators ◽  
Multi Index ◽  
K Function

Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel

Analysis ◽  
2021 ◽  
Vol 41 (1) ◽  
pp. 61-67
Author(s):  
Kamlesh Jangid ◽  
S. D. Purohit ◽  
Kottakkaran Sooppy Nisar ◽  
Serkan Araci
Keyword(s):  
Integral Operator ◽  
Fractional Integral ◽  
Type Inequality ◽  
Integral Operators ◽  
Fractional Integral Operator ◽  
Integral Inequalities ◽  
Fractional Integral Operators ◽  
Multi Index ◽  
Type Integral ◽  
Special Case

Abstract In this paper, we derive certain Chebyshev type integral inequalities connected with a fractional integral operator in terms of the generalized Mittag-Leffler multi-index function as a kernel. Our key findings are general in nature and, as a special case, can give rise to integral inequalities of the Chebyshev form involving fractional integral operators present in the literature.

scholarly journals On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Barış Çelik ◽  
Mustafa Ç. Gürbüz ◽  
M. Emin Özdemir ◽  
Erhan Set
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Integral Inequalities ◽  
Fractional Operators ◽  
Fractional Integral Operators

AbstractThe role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev functionals. The results are more general than the available classical results in the literature.

scholarly journals Two-weight norm inequalities for fractional integral operators with $A_{\lambda,\infty}$ weights

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Junren Pan ◽  
Wenchang Sun
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Type Estimate ◽  
Norm Inequalities ◽  
Fractional Integral Operators ◽  
New Class ◽  
Formula Type

Abstract In this paper, we introduce a new class of weights, the $A_{\lambda, \infty}$Aλ,∞ weights, which contains the classical $A_{\infty}$A∞ weights. We prove a mixed $A_{p,q}$Ap,q–$A_{\lambda,\infty}$Aλ,∞ type estimate for fractional integral operators.

On Chebychev type inequalities for fractional integral operators

2017 ◽  
Author(s):  
Fuat Usta ◽  
Hüseyin Budak ◽  
Mehmet Zeki Sarıkaya
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Fractional Integral Operators
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