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Volume 8 (2007), Issue 3, Article 64, 5 pp. YOUNG'S INTEGRAL INEQUALITY ON TIME SCALES REVISITED
 

Summary: Volume 8 (2007), Issue 3, Article 64, 5 pp.
YOUNG'S INTEGRAL INEQUALITY ON TIME SCALES REVISITED
DOUGLAS R. ANDERSON
CONCORDIA COLLEGE
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MOORHEAD, MN 56562 USA
andersod@cord.edu
Received 09 June, 2007; accepted 22 August, 2007
Communicated by D. Hinton
ABSTRACT. A more complete Young's integral inequality on arbitrary time scales (unbounded
above) is presented.
Key words and phrases: Dynamic equations, Integral inequalities.
2000 Mathematics Subject Classification. 26D15, 39A12.
1. INTRODUCTION
The unification and extension of continuous calculus, discrete calculus, q-calculus, and in-
deed arbitrary real-number calculus to time-scale calculus was first accomplished by Hilger in
his Ph.D. thesis [4]. Since then, time-scale calculus has made steady inroads in explaining the
interconnections that exist among the various calculuses, and in extending our understanding to
a new, more general and overarching theory.
The purpose of this note is to illustrate this new understanding by extending a continuous

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics