On Some Results Involving Many Variable Functions of Hardy Integral Inequalities
Yisa Oluwatoyin *
Department of Mathematical Sciences, Lagos State University of Science and Technology, Ikorodu, Lagos, Nigeria.
Christiana Iluno
Department of Mathematical Sciences, Lagos State University of Science and Technology, Ikorodu, Lagos, Nigeria.
Rauf Kamilu
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Inequalities involving superquadratic and subquadratic functions of independent interest are established for refined Hardy-type inequalities using fairly elementary analytical ideas. The consequences of our main results are derived and the corresponding proofs are presented.
Keywords: Hardy′s inequality, superquadratic functions, subquadratic functions, fubini′ s theorem, jensen′s inequality and h¨older′s inequality