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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 140, Pages 68–77 (Mi into235)
Inequalities involving fractional integrals of a function and its derivative

R. G. Nasibullin

Kazan (Volga Region) Federal University

Abstract: New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained.

Keywords: Hardy inequality, fractional Riemann–Liouville integral, Bessel function.

UDC: 517.5, 517.956.225

MSC: 26D15, 46E30


 English version: Journal of Mathematical Sciences (New York), 2019, 241:4, 448–457

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© Steklov Math. Inst. of RAS, 2025