Pregled bibliografske jedinice broj: 1181162
Generalizations of Hardy type inequalities by Taylor's formula
Generalizations of Hardy type inequalities by Taylor's formula // Mathematica Slovaca, 1 (2022), 67-84 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1181162 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Hardy type inequalities by Taylor's formula
Autori
Krulić Himmelreich, Kristina
Izvornik
Mathematica Slovaca (0139-9918) 1
(2022);
67-84
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities, Hardy type inequalities, Green function, Taylor interpolating polynomial, Chebyshev functional, convex function, kernel, exponentially convex functions, log-convex functions, means
Sažetak
In this paper, we use Taylor’s formula to prove new Hardy-type inequalities involving convex functions. We give new results that involve the Hardy–Hilbert inequality, P ́olya–Knopp in- equality and bounds for the identity related to the Hardy-type functional. At the end, mean value theorems of Cauchy type are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Kristina Krulić Himmelreich
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
