General Norm Inequalities of Trapezoid Type for Frechet Differentiable Functions in Banach Spaces

被引：0
作者：
Dragomir, Silvestru Sever [1 ,2 ]
机构：
[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne 8001, Australia
[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, DST NRF Ctr Excellence Math & Stat Sci, Private Bag 3, ZA-2050 Johannesburg, South Africa
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 07期
关键词：
Banach spaces; norm inequalities; midpoint inequalities; Banach algebras; LIPSCHITZIAN MAPPINGS; HADAMARD;
D O I：
10.3390/sym13071288
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we establish some error bounds in approximating the integral by general trapezoid type rules for Frechet differentiable functions with values in Banach spaces.
引用
收藏
页数：19
相关论文
共 23 条
[1]   Univariate Ostrowski inequalities, revisited [J].
Anastassiou, GA .
MONATSHEFTE FUR MATHEMATIK, 2002, 135 (03) :175-189
[2]  
Cerone P., 2019, HDB ANALYTIC COMPUTA, P135
[3]  
Cerone P., 2002, Advances in Statistics Combinatorics and Related Areas, P53
[4]  
Cerone P., 1999, Demonstratio Math., V32, P697
[5]  
Ciurdariu L., 2012, INT J MATH ANAL, V6, P1623
[6]  
Coleman R., 2012, CALCULUS NORMED VECT, DOI DOI 10.1007/978-1-4614-3894-6
[7]  
Dragomir S.S., 2000, RGMIA MONOGRAPHS
[8]  
Dragomir S.S., 2020, RGMIA RES REP COLL, V23, P19
[9]  
Dragomir S. S., 2015, ANN MATH SILESIANAE, V29, P61
[10]   INTEGRAL INEQUALITIES FOR LIPSCHITZIAN MAPPINGS BETWEEN TWO BANACH SPACES AND APPLICATIONS [J].
Dragomir, Sever S. .
KODAI MATHEMATICAL JOURNAL, 2016, 39 (01) :227-251
123