Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial

Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen's inequality for n-convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Cebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given. © 2019 Josip Pečarić et al., published by Sciendo 2019.

Authors
Pečarić J. 1, 2 , Pribanić A.P.3 , Kalamir K.S.1
Journal
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Publisher
Sciendo
Number of issue
2
Language
English
Pages
121-137
Status
Published
Link
External link
DOI
10.2478/auom-2019-0023
Volume
27
Year
2019
Organizations
  • 1 Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, Zagreb, 10000, Croatia
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
  • 3 Faculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, Rijeka, 51000, Croatia
Keywords
Abel-Gontscharoff polynomial; generalizations; Grüss-type inequality; n-convex functions; Ostrowski-type inequality; Steffensen's inequality
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55202/
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