perron integral
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The Controlled Convergence Theorem for the Gap-Integral

2015 ◽  
Vol 65 (5) ◽  
Author(s):  
D. K. Ganguly ◽  
Ranu Mukherjee
Keyword(s):  
Convergence Theorem ◽  
Convergence Theorems ◽  
Perron Integral

AbstractThe concept of the GAP-integral was introduced by the authors [GANGULY, D. K.-MUKHERJEE, R.: The generalized approximate Perron integral, Math. Slovaca 58 (2008), 31-42]. In this paper we prove the controlled convergence theorem for the GAP-integral and deduce other convergence theorems as corollaries.

A Stieltjes Type Extension of the Lr-Perron Integral

2015 ◽  
Vol 40 (2) ◽  
pp. 291
Author(s):  
Eyad Massarwi ◽  
Paul Musial
Keyword(s):  
Perron Integral ◽  
Stieltjes Type

The Strong Perron Integral of Fuzzy Number Valued Functions

2013 ◽  
pp. 141-149
Author(s):  
Yabin Shao ◽  
Huanhuan Zhang ◽  
Yongchun Cao ◽  
Yuqin Bai
Keyword(s):  
Fuzzy Number ◽  
Perron Integral

The Perron integral of order k in Riesz spaces

Positivity ◽  
2010 ◽  
Vol 14 (4) ◽  
pp. 595-612 ◽  
Author(s):  
Antonio Boccuto ◽  
Valentin A. Skvortsov
Keyword(s):  
Riesz Spaces ◽  
Perron Integral

The generalized approximate Perron integral

2008 ◽  
Vol 58 (1) ◽  
Author(s):  
D. Ganguly ◽  
Ranu Mukherjee
Keyword(s):  
Perron Integral

AbstractIn this paper we introduce the concept of the generalized AP-integral and discuss the properties of this integral.

scholarly journals THE STRONG PERRON INTEGRAL IN ℝnREVISITED

2007 ◽  
Vol 22 (1) ◽  
pp. 15-18
Author(s):  
Valentin A. Skvortsov ◽  
Piotr Sworowski
Keyword(s):  
Perron Integral

scholarly journals THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE ℝn

2005 ◽  
Vol 20 (2) ◽  
pp. 291-297
Author(s):  
JAE-MYUNG PARK ◽  
BYUNG-MOO KIM ◽  
DEUK-HO LEE
Keyword(s):  
Dimensional Space ◽  
Perron Integral

scholarly journals THE STRONG PERRON INTEGRAL

2003 ◽  
Vol 40 (1) ◽  
pp. 77-83
Author(s):  
Byung-Moo Kim ◽  
Young-Kuk Kim ◽  
Jae-Myung Park
Keyword(s):  
Perron Integral

scholarly journals ON THE n-DIMENSIONAL PERRON INTEGRAL DEFINED BY ORDINARY DERIVATES

2000 ◽  
Vol 26 (1) ◽  
pp. 371
Author(s):  
Bongiorno ◽  
Di Piazza ◽  
Skvortsov
Keyword(s):  
Perron Integral

On the Marcinkiewicz theorem for the binary Perron integral

1996 ◽  
Vol 59 (2) ◽  
pp. 189-195
Author(s):  
V. A. Skvortsov
Keyword(s):  
Marcinkiewicz Theorem ◽  
Perron Integral
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