Diamond-α Jensen’s Inequality on Time Scales
نویسندگان
چکیده
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen’s inequality on time scales via the diamond-α integral and present some corollaries, including Hölder’s and Minkowski’s diamond-α integral inequalities.
منابع مشابه
Extensions of certain integral inequalities on time scales
In this work, we establish Hölder’s inequality, Minkowski’s inequality and Jensen’s inequality on time scales via the nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals. c © 2008 Published by Elsevier Ltd
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