Naslov
More accurate dynamic Hardy-type inequalities obtained via superquadraticity

Autori
Saker, Samir ; Rezk, Haytham ; Krnić, Mario

Izvornik
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas (1578-7303) 113 (2019), 3; 2691-2713

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hardy-type inequality, P\'{; ; o}; ; % lya-Knopp-type inequality, Hardy-Hilbert-type inequality, superquadratic function, time scale

Sažetak
Utilizing the concept of a superquadratic function, in the present paper we establish some general weighted Hardy-type inequalities involving dynamic integral operators with a non-negative kernel. Our general results are then applied to some particular one-dimensional cases to provide refinements of some Hardy-type inequalities on time scales, known from the literature. In particular, we show that our results may be seen as generalizations of some recent results closely connected to classical one-dimensional Hardy's, P\'{; ; o}; ; % lya-Knopp's and Hardy-Hilbert's inequalities on time scales.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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