 
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, qcalculus, and in
deed arbitrary realnumber calculus to timescale calculus was first accomplished by Hilger in
his Ph.D. thesis [4]. Since then, timescale 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
