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Pregled bibliografske jedinice broj: 767200

Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial


Pečarić, Josip; Perušić, Anamarija; Smoljak, Ksenija
Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial // Khayyam journal of mathematics, 1 (2015), 1; 45-61 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial

Autori
Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija

Izvornik
Khayyam journal of mathematics (2423-4788) 1 (2015), 1; 45-61

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

Ključne riječi
Steffensen's inequality; Abel-Gontscharoff polynomial; Ostrowski type inequality; n-exponential convexity

Sažetak
In this paper generalizations of Steffensen's inequality using Abel-Gontscharoff interpolating polynomial are obtained. Moreover, in a special case generalizations by Abel-Gontscharoff polynomial reduce to known weaker conditions for Steffensen's inequality. Furthermore, Ostrowski type inequalities related to obtained generalizations are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)

Ustanove:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb


Citiraj ovu publikaciju:

Pečarić, Josip; Perušić, Anamarija; Smoljak, Ksenija
Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial // Khayyam journal of mathematics, 1 (2015), 1; 45-61 (podatak o recenziji nije dostupan, članak, znanstveni)
Pečarić, J., Perušić, A. & Smoljak, K. (2015) Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial. Khayyam journal of mathematics, 1 (1), 45-61.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c}, Anamarija and Smoljak, Ksenija}, year = {2015}, pages = {45-61}, keywords = {Steffensen's inequality, Abel-Gontscharoff polynomial, Ostrowski type inequality, n-exponential convexity}, journal = {Khayyam journal of mathematics}, volume = {1}, number = {1}, issn = {2423-4788}, title = {Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial}, keyword = {Steffensen's inequality, Abel-Gontscharoff polynomial, Ostrowski type inequality, n-exponential convexity} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peru\v{s}i\'{c}, Anamarija and Smoljak, Ksenija}, year = {2015}, pages = {45-61}, keywords = {Steffensen's inequality, Abel-Gontscharoff polynomial, Ostrowski type inequality, n-exponential convexity}, journal = {Khayyam journal of mathematics}, volume = {1}, number = {1}, issn = {2423-4788}, title = {Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial}, keyword = {Steffensen's inequality, Abel-Gontscharoff polynomial, Ostrowski type inequality, n-exponential convexity} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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