Kurzweil integral for Riesz space-valued functions: Uniform convergence theorem

被引：0

作者：

Monteiro, G. A. ^{[1
]}

Fernandez, R. ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

MATHEMATICA SLOVACA | 2012年 / 62卷 / 01期

关键词：

Kurzweil integral; uniform convergence; (D)-sequences;

D O I：

10.2478/s12175-011-0067-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our objective here is to prove that the uniform convergence of a sequence of Kurzweil integrable functions implies the convergence of the sequence formed by its corresponding integrals.

引用

页码：17 / 24

页数：8

共 50 条

[41] The differentiability of Banach space-valued functions of bounded variation
Sokol Bush Kaliaj
Monatshefte für Mathematik, 2014, 173 : 343 - 359
[42] Weak Convergence and Banach Space-Valued Functions: Improving the Stability Theory of Feynman's Operational Calculi
Nielsen, Lance
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2011, 14 (04) : 279 - 294
[43] Weak Convergence and Banach Space-Valued Functions: Improving the Stability Theory of Feynman’s Operational Calculi
Lance Nielsen
Mathematical Physics, Analysis and Geometry, 2011, 14 : 279 - 294
[44] A FUNCTIONAL CENTRAL LIMIT-THEOREM FOR HILBERT SPACE-VALUED SEMIMARTINGALES
LAVRENTIEV, VV
DOKLADY AKADEMII NAUK SSSR, 1983, 270 (01): : 41 - 44
[45] Sobolev classes of Banach space-valued functions and quasiconformal mappings
Heinonen, J
Koskela, P
Shanmugalingam, N
Tyson, JT
JOURNAL D ANALYSE MATHEMATIQUE, 2001, 85 : 87 - 139
[46] Sobolev classes of Banach space-valued functions and quasiconformal mappings
Juha Heinonen
Pekka Koskela
Nageswari Shanmugalingam
Jeremy T. Tyson
Journal d’Analyse Mathématique, 2001, 85 (1) : 87 - 139
[47] A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states (vol 150, pg 1, 2011)
Lenz, Daniel
Schwarzenberger, Fabian
Veselic, Ivan
GEOMETRIAE DEDICATA, 2012, 159 (01) : 411 - 413
[48] A Convergence Theorem for ap-Henstock-Kurzweil Integral and its Relation to Topology
Kalita, Hemanta
Hazarika, Bipan
FILOMAT, 2022, 36 (20) : 6831 - 6839
[49] RIESZ-FISCHER THEOREM FOR VECTOR-VALUED FUNCTIONS
MATUSZEW.W
ORLICZ, W
STUDIA MATHEMATICA, 1972, 44 (02) : 148 - &
[50] THEOREM ON INTEGRAL-VALUED ADDITIVE FUNCTIONS
DELANGE, H
ILLINOIS JOURNAL OF MATHEMATICS, 1974, 18 (03) : 357 - 372

← 1 2 3 4 5 →