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Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation

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In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well. Some particular cases for Hadamard fractional integrals are also provided.

eISSN:
2066-7752
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathematics, General Mathematics