INTEGRAL ERROR REPRESENTATION OF HERMITS INTERPOLATING POLYNOMIALS AND RELATED GENERALIZATIONS OF STEFFENSEN'S INEQUALITY

Some representations of Steffensen's inequality are obtained by using Hermite interpolating polynomials. The obtained representations are used to prove new generalizations of Steffensen's inequality for n-convex functions and to give some bounds for integrals in these representations.

Авторы
Pecaric J. 1 , Pribanic A.P.2 , Kalamir K.S.3
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
1177-1191
Статус
Опубликовано
Том
22
Год
2019
Организации
  • 1 RUDN Univ, Miklukho Maklava Str 6, Moscow 117198, Russia
  • 2 Univ Rijeka, Fac Civil Engn, Radmile Matejcic 3, Rijeka 51000, Croatia
  • 3 Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
Ключевые слова
Steffensen's inequality; Hermite interpolating polynomial; Green's function; n-convex function
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55637/