Unified treatment of fractional integral inequalities via linear functionals (CROSBI ID 243114)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bombardelli, Mea ; Nikolova, Ludmila ; Varošanec, Sanja
engleski
Unified treatment of fractional integral inequalities via linear functionals
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc. These results give us an elegant method for obtaining a number of inequalities for various kinds of fractional integral operators such as for the Riemann-Liouville fractional integral operator, the Hadamard fractional integral operator, fractional hyperqeometric integral and corresponding q-integrals.
the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function
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Podaci o izdanju
18 (1)
2017.
139-154
objavljeno
1787-2405
1787-2413
10.18514/MMN.2017.1895