Fejér type inequalities for higher order convex functions and quadrature formulae

The aim of this paper is to obtain Fejér type inequalities for higher order convex functions and the general weighted integral formula involving w-harmonic sequences of functions. Also, Fejér type inequalities are obtained for the general three, four and five point quadrature formulae. Further, Fejér type inequalities for the corrected three, corrected four and corrected five point quadrature formulae are considered. In special cases, Fejér type estimates for Simpson, Maclaurin, corrected Simpson and corrected Maclaurin quadrature rules are derived. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Authors
Barić J.1 , Kvesić L.2 , Pečarić J. 3 , Ribičić Penava M.
Journal
Aequationes Mathematicae
Publisher
Birkhauser Verlag Basel
Status
Published
Link
External link
DOI
10.1007/s00010-021-00825-7
Year
2021
Organizations
  • 1 Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, RuƉera Boškovića 32, Split, 21000, Croatia
  • 2 Faculty of Science and Education, University of Mostar, Matice hrvatske bb, Mostar, 88000, Bosnia and Herzegovina
  • 3 RUDN University, Miklukho-Maklaya str.6, Moscow, 117198, Russian Federation
  • 4 Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Trg Ljudevita Gaja 6, Osijek, 31000, Croatia
Keywords
Fejér inequalities; Hermite–Hadamard inequalities; Higher order convex functions; Quadrature formulae
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74457/
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