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Diamond-alpha Jensen's inequality on time scales

Title
Diamond-alpha Jensen's inequality on time scales
Type
Article in International Scientific Journal
Year
2008
Authors
Ammi, MRS
(Author)
Other
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Ferreira, RAC
(Author)
Other
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Torres, DFM
(Author)
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Journal
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Vol. 2008
ISSN: 1025-5834
Other information
Authenticus ID: P-004-3W4
Abstract (EN): 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-alpha 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-alpha integral and present some corollaries, including Holder's and Minkowski's diamond-alpha integral inequalities. Copyright (c) 2008 Moulay Rchid Sidi Ammi et al.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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