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

Авторы
Barić J. 1 , Kvesić L. 2 , Pečarić J. 3 , Penava M.R. 4
Журнал
Mathematical Inequalities and Applications
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
993-999
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.7153/MIA-2021-24-69
Том
24
Год
2021
Организации
  • 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
Ключевые слова
harmonic sequence of polynomials; Hermite-Hadamard inequality; Taylor expansion
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