Pregled bibliografske jedinice broj: 1186455
Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application
Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application // Mathematics, 10 (2022), 5; 735, 10 (međunarodna recenzija, članak, znanstveni)
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Naslov
Companion to the Ostrowski–Grüss-Type Inequality of
the Chebyshev Functional with an Application
Autori
Kovač, Sanja ; Vukelić, Ana
Izvornik
Mathematics (2227-7390) 10
(2022), 5;
735, 10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Chebyshev functional ; Grüss inequality ; Ostrowski inequality ; weight integral formula
Sažetak
Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to Lp spaces. In the existing literature, the main assumption in the weight-type results is that the derivative of the function is bounded by two constant functions. The aim of our paper is to extend those results in a way that the derivative of the function is bounded by two functions in Lp spaces. Furthermore, we give some new error estimations of the Chebyshev functional and applications to the one-point weight integral formulas.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
