Riemann Integral Operator for Stationary and Non-Stationary Processes

2021 ◽  
Author(s):  
I. M. Alexandrovich ◽  
S. I. Lyashko ◽  
M. V.-S. Sydorov ◽  
N. I. Lyashko ◽  
O. S. Bondar
Keyword(s):  
Integral Operator ◽  
Stationary Processes ◽  
Riemann Integral

scholarly journals The Linearity of Riemann Integral on Functions from ℝ into Real Banach Space

2013 ◽  
Vol 21 (3) ◽  
pp. 185-191
Author(s):  
Keiko Narita ◽  
Noboru Endou ◽  
Yasunari Shidama
Keyword(s):  
Banach Space ◽  
Integral Operator ◽  
Real Banach Space ◽  
Closed Interval ◽  
Continuous Functions ◽  
Real Numbers ◽  
Riemann Integral ◽  
Basic Properties ◽  
Bounded Functions ◽  
Definition Of

Summary In this article, we described basic properties of Riemann integral on functions from R into Real Banach Space. We proved mainly the linearity of integral operator about the integral of continuous functions on closed interval of the set of real numbers. These theorems were based on the article [10] and we referred to the former articles about Riemann integral. We applied definitions and theorems introduced in the article [9] and the article [11] to the proof. Using the definition of the article [10], we also proved some theorems on bounded functions.

Riemann integral operator for nonstationary processes in the axisymmetric case

1994 ◽  
Vol 71 (4) ◽  
pp. 2544-2548
Author(s):  
I. N. Aleksandrovich ◽  
O. N. Roshchupkina
Keyword(s):  
Integral Operator ◽  
Nonstationary Processes ◽  
Riemann Integral ◽  
Axisymmetric Case

CAPABILITY MEASURES FOR m -DEPENDENT STATIONARY PROCESSES

Statistics ◽  
2003 ◽  
Vol 37 (1) ◽  
pp. 1-24 ◽  
Author(s):  
SY-MIEN CHEN ◽  
YU-SHENG HSU ◽  
W. L. PEARN
Keyword(s):  
Stationary Processes

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1931-1939 ◽  
Author(s):  
Junesang Choi ◽  
Praveen Agarwal
Keyword(s):  
Integral Operator ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Fractional Integration ◽  
Fractional Integral Operator ◽  
Integration Formula ◽  
Special Cases

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Univalence criteria for a general integral operator

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Erhan Deniz
Keyword(s):  
Integral Operator ◽  
General Integral ◽  
Significant Relationships ◽  
General Integral Operator ◽  
Univalence Criteria

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

A DESCRIPTIVE CHARACTERIZATION OF THE GENERALIZED RIEMANN INTEGRAL

1989 ◽  
Vol 15 (1) ◽  
pp. 397 ◽  
Author(s):  
Gordon
Keyword(s):  
Riemann Integral

scholarly journals Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
N. Levernier ◽  
O. Bénichou ◽  
R. Voituriez ◽  
T. Guérin
Keyword(s):  
Rare Events ◽  
Polymer Dynamics ◽  
Stationary Processes ◽  
Kinetics Of
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