scholarly journals Bochner integral for S*(M-) valued function

2019 ◽  
Vol 6 (11) ◽  
Author(s):  
Jia Shi ◽  
Yin Zhang ◽  
Lixia Zhang
Keyword(s):  
Bochner Integral

scholarly journals An integral for a banach valued function

2009 ◽  
Vol 44 (1) ◽  
pp. 105-113
Author(s):  
Giuseppa Riccobono
Keyword(s):  
Banach Space ◽  
Bochner Integral ◽  
Definition Of

Abstract Using partitions of the unity ((PU)-partition), a new definition of an integral is given for a function f : [a, b] → X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

scholarly journals Integrated Semigroups on Fréchet Spaces I: Bochner Integral, Laplace Integral and Real Representation Theorems

2019 ◽  
Vol 11 (1) ◽  
pp. 118
Author(s):  
Tiziano Granucci
Keyword(s):  
Functional Space ◽  
Fréchet Spaces ◽  
Bochner Integral ◽  
Representation Theorems ◽  
Real Representation ◽  
Integrated Semigroups ◽  
Laplace Integral ◽  
Vectorial Functions

In this articles we will study the integration of the vectorial functions in Fréchet spaces. Particularly we will introduce and we will study a new functional space and we will prove some theorems of representation.

On Integration of Vector-Valued Functions

1958 ◽  
Vol 10 ◽  
pp. 399-412 ◽  
Author(s):  
D. O. Snow
Keyword(s):  
Bochner Integral ◽  
Significant Extent ◽  
Vector Valued Functions ◽  
Integrating Vector ◽  
Vector Valued

Among the variety of integrals which have been devised for integrating vector-valued functions the most widely used is that of Bochner (2), perhaps because of the simplicity of its formulation. Other approaches, including one by Birkhoff (1), have yielded more general integrals yet none of them seems to have supplanted the Bochner integral to a significant extent.

scholarly journals Quadratic reverses of the triangle inequality for Bochner integral in Hilbert spaces

2004 ◽  
Vol 70 (3) ◽  
pp. 451-462
Author(s):  
Sever S. Dragomir
Keyword(s):  
Hilbert Spaces ◽  
Triangle Inequality ◽  
Bochner Integral ◽  
Vector Valued Functions ◽  
Complex Valued ◽  
Vector Valued

Some quadratic reverses of the continuous triangle inequality for the Bochner integral of vector-valued functions in Hilbert spaces are given. Applications of complex-valued functions are provided as well.

Integration by Parts for the Denjoy-Bochner Integral

2003 ◽  
Vol 26 (4) ◽  
pp. 693-700 ◽  
Author(s):  
Ye Guoju ◽  
Wu Congxin ◽  
Lee Peng Yee
Keyword(s):  
Bochner Integral ◽  
Integration By Parts

scholarly journals The Bochner integral for measurable sections and its properties

2013 ◽  
Vol 4 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Inomjon Ganiev ◽  
Gharib S‎. ‎Mahmuod
Keyword(s):  
Bochner Integral
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