THE OSTROWSKI TYPE INEQUALITIES WITH THE APPLICATION TO THE THREE POINT INTEGRAL FORMULA

被引：0
|
作者：
Kovac, Sanja [1 ]
Pecaric, Josip [2 ]
Tipuric-Spuzevic, Sanja [3 ]
机构：
[1] Univ Zagreb, Fac Geotehn Engn, Hallerova Aleja 7, Varazhdin 42000, Croatia
[2] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
[3] Univ Mostar, Fac Sci & Educ, Mostar 88000, Bosnia & Herceg
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 02期
关键词：
sequences of harmonic polynomials; numerical integration; L-p (spaces); inequalities; Gaussian quadrature; Simpson's rule; dual Simpson's rule; Maclaurin's rule;
D O I：
10.7153/mia-2019-22-29
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The generalization of the integral formula with three nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to L-p spaces are given. We establish non-weighted version of the three point integral formula. From the general non-weighted formula we shall get the famous Simpson, dual Simpson and Maclaurin formulae. Some new errors of approximation in these integral formulae are obtained.
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页码：401 / 420
页数：20
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