discrete inequalities
Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
... Gronwall-Bellman inequalities and their various linear and nonlinear generalizations play very important roles in the discussion of existence, uniqueness, continuation, boundedness, and stability properties of ...
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Two Discrete Inequalities of Grüss Type Via Pólya-Szegö and Shisha Results for Real Numbers
... Some new Gr¨ uss type discrete inequalities for nonnegative real numbers and applications for the moments of guessing mappings are given.. Integral Inequalities, Gr¨ uss Type Discrete In[r] ...
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Generalized Gronwall Bellman type discrete inequalities and their applications
... difference inequalities have been established (see [1]-[11] and the references ...earlier inequalities are inadequate and it is necessary to seek some new discrete inequalities in order to ...
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Discrete Inequalities on LCT
... Linear canonical transform (LCT) is widely used in physical optics, mathematics and information processing. This paper investigates the generalized uncertainty principles, which plays an impor- tant role in physics, of ...
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On generalization of Pachpatte type discrete inequalities and applications
... difference inequalities; see [1, 2, 3, 4, 5, 6, 7, 8, ...difference inequalities which are useful in the study of new classes of difference and sum-difference ...the inequalities reported in [5, 6, ...
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On Some Discrete Inequalities in Normed Linear Spaces
... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces, RGMIA Monographs, Victoria University, 2005. KHALEELULA, On Diaz-Metcalf’s comple[r] ...
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On some new N independent variable discrete inequalities of the Gronwall type
... Fundamental Inequalities for Discrete and Discontinuous Functional Equations, SlAM J.. Finite Difference Inequalities and Discrete Time Control Systems, Indian J.[r] ...
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Volterra Discrete Inequalities of Bernoulli Type
... some discrete generalizations of the results of Gronwall 5. The discrete analogue of the result of Bihari 13 was partially given by Hull and Luxemburg 14 and was used by them for the numerical treatment of ...
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On certain discrete inequalities and their continous analogues
... We have also considered analogues of inequalities of MUller and Redheffer and have used these inequalities to ·derive a necessary and sufficient condition on ordere[r] ...
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Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers
... DRAGOMIR, A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities, Journal of Inequalities in Pure & Applied Mathematics , 4 (2003), No.. RHEINBOLDT, On a generalisation of[r] ...
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Half discrete Hilbert type inequalities involving differential operators
... zero. Inequalities () and () will be an important tool in our extension of () to a general homogeneous ...half-discrete inequalities and related results, the reader is referred to recent papers ...
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Some New Gronwall-Bellmann Type Discrete Fractional Inequalities Arising in the Theory of Discrete Fractional Calculus
... type discrete fractional sum inequalities, and based on them present some Volterra- Fredholm type discrete ...resented inequalities to research the initial value problem of a certain ...
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Recent Developments of Hilbert Type Discrete and Integral Inequalities with Applications
... Hilbert-type discrete and integral inequalities with applica- tions are presented in this paper with ...Hilbert-type discrete and integral inequalities involving many special functions such as ...
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Advanced Discrete Halanay Type Inequalities: Stability of Difference Equations
... The investigation of stability of nonlinear difference equations with delays has attracted a lot of attention from many researchers such as Agarwal et al. 1–3, Ba˘ ınov and Simeonov 4, Bay and Phat 5, Cooke and Ivanov 6, ...
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Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... The main objective of this paper is a study of some new generalizations of Hilbert’s and Hardy- Hilbert’s type inequalities. We apply our general results to homogeneous functions. We shall obtain, in a similar way ...
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Asymptotic behavior of the solutions of a discrete reaction diffusion equation
... By means of Bihari type inequalities, we derive sufficient conditions for solutions of a dis- crete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic repre- sentation of solutions are also ...
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On Lyapunov Type Inequalities for Two Dimensional Nonlinear Partial Systems
... Zhou, “Lyapunov inequality for linear Hamiltonian systems on time scales,” Journal of Mathematical Analysis and Applications, vol.. Kaymakçalan, “Lyapunov inequalities for discrete line[r] ...
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Some Results for Isotonic Functionals Via an Inequality Due to Kittaneh and Manasrah
... Isotonic, that is, order-preserving, linear functionals are natural objects in analysis which enjoy a number of convenient properties. Thus, they provide, for example, Jessen’s inequality, which is a functional form of ...
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Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type
... The aim of this paper is to extend certain results that were proved in [9, 10], and general- ize (1)–(4) to some weakly singular integral inequalities. The upper bound estimations of the unknown functions are ...
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A new discrete Hilbert type inequality involving partial sums
... The Hilbert inequality is one of the most interesting inequalities in mathematical anal- ysis. For a detailed review of the starting development of the Hilbert inequality the reader is referred to monograph [5]. ...
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