Opial and Pólya type inequalities via convexity

• Autorzy: Saker S. H. , Abdou D. M. , Kubiaczyk I.

Identyfikatory

DOI

10.1515/fascmath-2018-0009

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove some new dynamic inequalities related to Opial and Pólya type inequalities on a time scale T. We will derive the integral and discrete inequalities of Polya’s type as special cases and also derive several classical integral inequalities of Opial’s type that has been obtained in the literature as special cases. The main results will be proved by using the chain rule, Hölder’s inequality and Jensen’s inequality, Taylor formula on time scales.

Słowa kluczowe

EN

Opial’s inequality; Holder's inequality; Jensen's inequality; time scales

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 60
• Strony: 145--159
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Saker S. H.

• Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt

autor

Abdou D. M.

• Department of Mathematics Faculty of Science Al-Azhar University Nasr City 11884, Egypt

autor

Kubiaczyk I.

• Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87, 61-614 Poznan, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).