Time Scales Hardy–type Inequalities via Superquadracity

نویسندگان

JAMES ADEDAYO OGUNTUASE

Tsuyoshi Ando

V. Valov

چکیده

In this paper some new Hardy–type inequalities on time scales are derived and proved using the concept of superquadratic functions. Also, we extend Hardy–type inequalities involving superquadratic functions with general kernels to the case with arbitrary time scales. Several consequences of our results are given and their connection with recent results in the literature are pointed out and discussed. 1 Department of Mathematics, Federal University of Agriculture, P.M.B. 2240, Abeokuta, Ogun State, Nigeria. E-mail address: [email protected]; [email protected] 2 Department of Mathematics, Lule̊a University of Technology, SE-971 87 Lule̊a, Sweden; Narvik University College, P.O. Box 385, N-8505 Narvik, Norway. E-mail address: [email protected] Date: Received: October 28, 2013; Accepted: November 2, 2013. ∗ Corresponding author. 2010 Mathematics Subject Classification. Primary 46G12; Secondary 47B34; 47J20.

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