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Weighted generalizations of Iyengar type inequalities


Franjić, Iva; Pečarić, Josip; Perić, Ivan
Weighted generalizations of Iyengar type inequalities // Third Croatian Congress of Mathematics
Split, 2004. (predavanje, nije recenziran, sažetak, znanstveni)


Naslov
Weighted generalizations of Iyengar type inequalities

Autori
Franjić, Iva ; Pečarić, Josip ; Perić, Ivan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Third Croatian Congress of Mathematics / - Split, 2004

Skup
Third Croatian Congress of Mathematics

Mjesto i datum
Split, Hrvatska, 16-18.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Iyengar's inequality; Steffensen's inequality; trapezoidal rule; bounded higher derivatives

Sažetak
Using Hayashi's modification of the well-known Steffensen's inequality, weighted Iyengar type inequalities for functions with bounded higher derivatives will be given. Iyengar's inequality is obtained as a special case. Our result improves similar estimations obtained using Taylor's formula.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
0037119
0117014

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Ivan Perić (autor)

Avatar Url Iva Franjić (autor)

Citiraj ovu publikaciju

Franjić, Iva; Pečarić, Josip; Perić, Ivan
Weighted generalizations of Iyengar type inequalities // Third Croatian Congress of Mathematics
Split, 2004. (predavanje, nije recenziran, sažetak, znanstveni)
Franjić, I., Pečarić, J. & Perić, I. (2004) Weighted generalizations of Iyengar type inequalities. U: Third Croatian Congress of Mathematics.
@article{article, year = {2004}, pages = {31}, keywords = {Iyengar's inequality, Steffensen's inequality, trapezoidal rule, bounded higher derivatives}, title = {Weighted generalizations of Iyengar type inequalities}, keyword = {Iyengar's inequality, Steffensen's inequality, trapezoidal rule, bounded higher derivatives}, publisherplace = {Split, Hrvatska} }