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Integral Inequality of Hardy-Type on Time Scales
Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
Department of Mathematics, University of Ilorin, Ilorin, Nigeria
Department of Mathematics, University of Ilorin, Ilorin, Nigeria
- 1 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
- 2 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
- 3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
- 4 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
Advances in Pure Mathematics·Volume 09 (2019)·Pages 534–543·Published 27 June 2019·DOI10.4236/apm.2019.96025
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Abstract
Inequalities are essential in the study of Mathematics and are useful tools in the theory of analysis. They have been playing a critical role in the study of the existence and uniqueness properties of solutions of initial and boundary value problems for differential equations as well as differen ce equations with their bounds. In this paper, we obtain new integral inequalities mainly by using some known inequalities . Various generalizations of Hardy's inequality are special cases of the results therein.
KeywordsTime ScaleMeasurableConvex FunctionsHardy-Type Inequalities
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