NEW BOUNDS FOR GENERALIZED TAYLOR EXPANSIONS

We give inequalities for higher order convex functions involving harmonic sequence of polynomials. As a consequence, we obtain bounds for generalized Taylor expansions. © ELEMENT, Zagreb

Authors
Barić J. 1 , Kvesić L. 2 , Pečarić J. 3 , Penava M.R. 4
Journal
Mathematical Inequalities and Applications
Publisher
Element D.O.O.
Issue number
4
Language
English
Pages
993-999
State
Published
Link
External link
DOI
10.7153/MIA-2021-24-69
Volume
24
Year
2021
Organizations
  • 1 University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Rudjera Boškovića 32, Split, 21 000, Croatia
  • 2 Faculty of Science and Education, University of Mostar, Matice hrvatske bb, Mostar, 88 000, Bosnia and Herzegovina
  • 3 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
  • 4 Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, Osijek, 31 000, Croatia
Keywords
harmonic sequence of polynomials; Hermite-Hadamard inequality; Taylor expansion
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