prikaz prve stranice dokumenta Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions
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Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions
Mathematical inequalities & applications, - (2023), -; -. urn:nbn:hr:237:088295
Pokaz, Dora

Institucijski repozitorij: Repozitorij Građevinskog fakulteta Sveučilišta u Zagrebu

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Pokaz, D. (2023). Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions. Mathematical inequalities & applications, -. (-), -. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:088295

Pokaz, Dora. "Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions." Mathematical inequalities & applications, vol. -, br. -, 2023, str. -. https://urn.nsk.hr/urn:nbn:hr:237:088295

Pokaz, Dora. "Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions." Mathematical inequalities & applications -, br. - (2023): -. https://urn.nsk.hr/urn:nbn:hr:237:088295

Pokaz, D. (2023) 'Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions', Mathematical inequalities & applications, -(-), str. -. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:088295 (Datum pristupa: 30.11.2024.)

Pokaz D. Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions. Mathematical inequalities & applications [Internet]. 2023. [pristupljeno 30.11.2024.];-(-):-. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:088295

D. Pokaz, "Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions", Mathematical inequalities & applications, vol. -, br. -, str. -, 2023. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:088295. [Citirano: 30.11.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:237:088295
Podaci o radu
Naslov (engleski)Inequality of Hardy–type for n–convex function via interpolation polynomial and Green functions
AutorDora Pokaz
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Matematika
Sažetak (engleski)
We obtain new results on the Hardy-type inequality in the general context, in terms of measure spaces with positive σ -finite measures. The connection is made between the difference operator derived from the Hardy-type inequality on the one hand and the expression containing the interpolating polynomial of Abel-Gontscharoff and the four Green functions on the other hand. We discuss the n-convexity of the function and consider the result depending on the parity of the indexes n and m. Further results are obtained by using the Holder inequality for conjugate exponents p and q . Finally, we derive upper bounds for the remainder, obtained from the main result, using the Čebyšev functional. The Ostrowski-type bound for the generalized Hardy inequality is also given.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaMathematical inequalities & applications
Brojčani podacivol. -, br. -, str. -, -
e-ISSN1848-9966
URN:NBNurn:nbn:hr:237:088295
Datum objave publikacije2023
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 08:55:00