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Pregled bibliografske jedinice broj: 957795

The Ostrowski Type Inequalities with the application to the three point integral formula


(RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia ; Fakultet prirodoslovno-matematičkih i odgojnih znanosti, Sveučilište u Mostaru) Kovač, Sanja; Pečarić, Josip; Tipurić-Spužević, Sanja
The Ostrowski Type Inequalities with the application to the three point integral formula // Mathematical inequalities & applications, 22 (2019), 2; 401-420 doi:dx..org/10.7153/mia-2019-22-29 (međunarodna recenzija, članak, znanstveni)


Naslov
The Ostrowski Type Inequalities with the application to the three point integral formula

Autori
Kovač, Sanja ; Pečarić, Josip ; Tipurić-Spužević, Sanja

Kolaboracija
RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia ; Fakultet prirodoslovno-matematičkih i odgojnih znanosti, Sveučilište u Mostaru

Izvornik
Mathematical inequalities & applications (1331-4343) 22 (2019), 2; 401-420

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Sequences of harmonic polynomials, numerical integration, $L_p$ spaces, inequalities, Gaussian quadrature, Simpson's rule, dual Simpson's rule, Maclaurin's rule

Sažetak
The generalization of the integral formula with three nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to $L_p$ spaces are given. We establish non-weighted version of the three point integral formula. From the general non-weighted formula we shall get the famous Simpson, dual Simpson and Maclaurin formulae. Some new errors of approximation in these integral formulae are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Geotehnički fakultet, Varaždin

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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