Hardy Type Inequalities For Superquadratic And Subquadratic Functions

Authors

  • J. A. Oguntuase DEPARTMENT OF MATHEMATICS, UNIVERSITY OF AGRICULTURE, P. M. B. 2240, ABEOKUTA, OGUN STATE, NIGERIA
  • E. O. Adeleke DEPARTMENT OF MATHEMATICS, UNIVERSITY OF AGRICULTURE, P. M. B. 2240, ABEOKUTA, OGUN STATE, NIGERIA
  • P. Durojaye DEPARTMENT OF MATHEMATICS AND STATISTICS, FEDERAL POLYTECHNIC, P. M. B. 50, ILARO, OGUN STATE, NIGERIA

Abstract

Some new Hardy type inequalities for superquadratic and subquadratic functions are proved and discussed. We also derive a new class of refined Hardy-type inequalities involving a more general integral operators with a nonnegative kernel. The results obtained unify and extend several inequalities of Hardy-type for superquadratic and subquadratic functions known in the literature.

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Published

2021-04-12

How to Cite

Oguntuase, J. A., Adeleke, E. O. ., & Durojaye, P. . (2021). Hardy Type Inequalities For Superquadratic And Subquadratic Functions. Journal of the Nigerian Mathematical Society, 31(1-3), 119–135. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/754

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