Open AccessInequalities similar to Opial's inequality involving higher order derivatives
Author(s) -
B. G. Pachpatte
Publication year - 2005
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.36.2005.123
Subject(s) - inequality , mathematics , mathematical proof , order (exchange) , pure mathematics , range (aeronautics) , type (biology) , calculus (dental) , algebra over a field , mathematical analysis , economics , materials science , geometry , ecology , medicine , dentistry , finance , composite material , biology
In this paper we establish some new inequalities similar to Opial's inequality involving functions and their higher order derivatives. The analysis used in the proofs is elementary and our results provide a new range of nequalities of this type