dynamic inequalities
FORMATION OF VERSIONS OF SOME DYNAMIC INEQUALITIES UNIFIED ON TIME SCALE CALCULUS
... The time scale calculus has a scope for many applications in the field of dynamic inequalities. The time scale calculus was initiated by Stefan Hilger as given in [11]. A time scale is an arbitrary nonempty ...
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Dynamic Inequalities for Convex Functions Harmonized on Time Scales
... type dynamic inequalities for convex functions harmonized on time ...type dynamic inequalities and generalize it for convex functions of several variables by using Bernoulli’s in- equality, ...
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Weighted dynamic inequalities of Opial type on time scales
... weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in the literature but also improve some of ...
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Some dynamic inequalities on time scales and their applications
... delay dynamic integral inequalities on time scales, which extend some known retarded dynamic inequalities on time scales, also unify and extend some continuous inequalities and their ...
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Some Steffensen type dynamic inequalities on time scales
... Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond- α dynamic integrals, which are characterized as a combination of the delta and nabla ...These ...
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Bounds of Certain Dynamic Inequalities on Time Scales
... dissertation. Dynamic inequalities on time scales has applications in various ...of dynamic equations and inequalities on time scales, its properties and applications [1, 5, 6, 7, 8, 9, 10, ...
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Refinement multidimensional dynamic inequalities with general kernels and measures
... ous modifications both in the continuous and discrete settings. They have extensive appli- cations to partial differential and difference equations, harmonic analysis, approximations, number theory, optimization, convex ...
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A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales
... nonlinear dynamic inequalities containing inte- gration on infinite interval on time ...some dynamic inequalities that have been studied in [33], but also are new even for the continuous and ...
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On some generalizations of dynamic Opial type inequalities on time scales
... of dynamic Opial-type inequalities on time ...these inequalities, as special cases, we formulate some integral and discrete inequalities proved in the literature and also extend some obtained ...
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Solvability for a class of integral inequalities with maxima on the theory of time scales and their applications
... type inequalities for scalar functions of one independent variable under an initial condition associated with an arbitrary time scale ...nonlinear dynamic inequalities but also derive and unify ...
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Some New Gronwall-Bellmann Type Discrete Fractional Inequalities Arising in the Theory of Discrete Fractional Calculus
... and dynamic equations on time scales, the Gronwall- Bellman inequality [6,7] and its various generalizations play important roles as explicit bounds for unknown functions can be ...integral inequalities ...
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Generalized diamond α dynamic opial inequalities
... In this article, the above given Theorem 2.4 is improved in the sense of removing the restriction given by the condition a(1-a)f Δ f ∇ ≥ 0 as well as the left hand side of inequality (2.2) refined to a compact form, ...
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On Some Integral Inequalities on Time Scales and Their Applications
... new dynamic inequalities on time scales. We establish some new dynamic inequalities; the results unify and extend some continuous inequalities and their corresponding discrete ...The ...
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On Huygens' Inequalities and the Theory of Means
... Proof. The first inequality of 2.3 is proved in 6, while the first inequality of 2.8 is a well- known inequality due to Leach and Sholander 8 see 4 for many related references. The second inequalities of 2.3 and ...
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Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
... integral inequalities on time scales, which are generalizations of some known continuous inequalities and discrete inequalities in the ...present inequalities to derive new bounds for unknown ...
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Vol 3, No 4 (2012)
... mathematical inequalities play very important role in classical differential and integral equations which has applications in many ...Fractional inequalities are important in studding the existence, ...
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Johan Mackenbach, awarded an honorary doctorate for his work on health inequalities, in a discussion of burning issues in tackling health inequalities
... As a consequence of this impressive contribution to the field, the Catholic University of Louvain (UCL) awarded, Professor Johan Mackenbach (JM), on the 20 th of March 2015, an honorary doctorate for his out- standing ...
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Journal of Inequalities in Pure and Applied Mathematics : JIPAM Web Site Dynamic Database System
... certain aspect of the system, see Figure 1 below. The requirements model aims to capture the functional requirements. The analysis model aims to give the system a robust and changeable o[r] ...
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Solution Building for Arbitrary System of Linear Inequalities in an Explicit Form
... (redundant) inequalities deletion. The concept of “almost dependent” inequalities is defined and an algorithm for further reducing the system by deletion of these is ...dependent inequalities ...
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19. New Inequalities Using Fractional Q-Integrals Theory
... Many researchers have given considerable attention to (1),(3) and (4) and a number of extensions and generalizations appeared in the literature (e.g. [4, 5, 6, 7, 9, 10]). The purpose of this paper is to derive some new ...
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