Some new dynamic Hardy-type inequalities with kernels involving monotone functions

Some new dynamic Hardy-type inequalities with kernels involving monotone functions

The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight fun...

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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2020-07, Vol.114 (3), Article 142
Hauptverfasser: Saker, Samir H., Saied, Ahmed I., Krnić, Mario
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Inequalities
Kernels
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Monotone functions
Original Paper
Theoretical
Weighting functions
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Beschreibung
Zusammenfassung:The main objective of the present paper is an extension of several classical integral Hardy-type inequalities with kernels to a time scales setting. The established inequalities refer to a class of monotone functions and they are characterized by appropriate relations for the accompanying weight functions. As an application, we obtain the corresponding discrete Hardy-type inequalities for monotone sequences, which are essentially new.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-020-00876-6