New Principles of Non-Linear Integral Inequalities on Time Scales
نویسندگان
چکیده
منابع مشابه
Some New Integral Inequalities on Time Scales
By introducing two adjusting parameters, we investigate some new nonlinear integral inequalities on time scales, which provide explicit bounds on unknown functions, and can be used as tools in the qualitative theory of certain classes of dynamic equations on time scales. Mathematics subject classification (2010): 26D15, 26E70.
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Abstract: In this paper, some new delay integral inequalities with two independent variables on time scales are established, which can be used as a hand tool in the investigation of qualitative properties of solutions of delay dynamic equations on time scales. Some applications for the established inequalities are also presented, and new explicit bounds on unknown functions of delay dynamic equ...
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In this paper we obtain some weighted Čebyšev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to Lp (a,b) (1 p ∞) . We also give some other interesting inequalities as special cases. Mathematics subject classification (2010): 26D15, 26E70.
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The study of dynamic equations on time scales, which goes back to its founder Hilger 1 , is an area of mathematics that has recently received a lot of attention. For example, we refer the reader to literatures 2–8 and the references cited therein. At the same time, some fundamental integral inequalities used in analysis on time scales have been extended by many authors 9–14 . In this paper, we ...
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The theory of the calculus of variations was recently extended to the more general time scales setting, both for delta and nabla integrals. The primary purpose of this paper is to further extend the theory on time scales, by establishing some basic diamond-alpha dynamic integral inequalities. We prove generalized versions of Hölder, Cauchy-Schwarz, Minkowski, and Jensen’s inequalities. For the ...
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ژورنال
عنوان ژورنال: Applied Mathematics and Nonlinear Sciences
سال: 2021
ISSN: 2444-8656
DOI: 10.2478/amns.2021.1.00001