2019 IEEE Congress on Evolutionary Computation, CEC 2019 - Proceedings.
Institute of Electrical and Electronics Engineers Inc..
2019.
P. 2894-2899
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
Publisher
Sciendo
Number of issue
2
Language
English
Pages
121-137
Status
Published
Link
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
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