Abstract
A note on Chebyshev inequality via k-generalized fractional integrals
Highlights
One of the most developed mathematical areas in recent years is that of integral inequalities, involving various fractional and generalized integral operators; for example, see [1, 5,6,7,8, 10, 15, 17, 18, 21, 25, 31, 43, 44]
The generalized k-proportional fractional integral operators with general kernel were defined, which contain many of the known fractional operators
We present a generalized formulation of the Riemann-Liouville fractional integral, which contains as particular cases many of the integral operators reported in the literature
Summary
One of the most developed mathematical areas in recent years is that of integral inequalities, involving various fractional and generalized integral operators; for example, see [1, 5,6,7,8, 10, 15, 17, 18, 21, 25, 31, 43, 44]. The fractional integral operator of Riemann-Liouville are being extended and generalized in various ways. The right and left side Riemann-Liouville fractional integrals of order α, with Re(α) > 0, are defined, respectively, by and with t ∈ (a1, a2). Other definitions of fractional integral operators are the following ones.
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