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Discrete analogues of the Laguerre inequality
 Analysis and Applications
, 2003
"... ≥ 0, m = 0, 1,..., where f(x) is either a real polynomial with only real zeros or an allied entire function of a special type, provided the distance between two consecutive zeros of f(x) is at least √ 4 − 6. These inequalities are a surprisingly similar discrete analogue m+2 of higher degree general ..."
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Cited by 6 (3 self)
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≥ 0, m = 0, 1,..., where f(x) is either a real polynomial with only real zeros or an allied entire function of a special type, provided the distance between two consecutive zeros of f(x) is at least √ 4 − 6. These inequalities are a surprisingly similar discrete analogue m+2 of higher degree
A discrete analogue of the modified NovikovVeselov hierarchy
, 2009
"... We construct a discrete analogue of the integrable twodimensional Dirac operator and describe the spectral properties of its eigenfunctions. We construct an integrable discrete analogue of the modified NovikovVeselov hierarchy. We derive the first two equations of the hierarchy and give explicit f ..."
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Cited by 3 (2 self)
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We construct a discrete analogue of the integrable twodimensional Dirac operator and describe the spectral properties of its eigenfunctions. We construct an integrable discrete analogue of the modified NovikovVeselov hierarchy. We derive the first two equations of the hierarchy and give explicit
Integral Inequality and Its Discrete Analogue
, 2007
"... vol. 8, iss. 2, art. 57, 2007 Title Page Contents ..."
Discrete analogues in Harmonic Analysis: Spherical Averages
 ANNALS OF MATH
, 2002
"... In this paper we prove an analogue in the discrete setting of Z d,ofthe spherical maximal theorem for R d. The methods used are twofold: the application of certain “sampling” techniques, and ideas arising in the study of the number of representations of an integer as a sum of d squares, in particul ..."
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Cited by 19 (1 self)
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In this paper we prove an analogue in the discrete setting of Z d,ofthe spherical maximal theorem for R d. The methods used are twofold: the application of certain “sampling” techniques, and ideas arising in the study of the number of representations of an integer as a sum of d squares
A generalization of Constantin’s integral inequality and its discrete analogue
 J. Inequal. Pure and Appl. Math
"... ABSTRACT. A generalization of Constantin’s integral inequality and its discrete analogy are established. A discrete analogue of Okrasinsky’s model for the infiltration phenomena of a fluid is also discussed to convey the usefulness of the discrete inequality obtained. ..."
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Cited by 2 (1 self)
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ABSTRACT. A generalization of Constantin’s integral inequality and its discrete analogy are established. A discrete analogue of Okrasinsky’s model for the infiltration phenomena of a fluid is also discussed to convey the usefulness of the discrete inequality obtained.
A Discrete Analogue of the Dirac Operator and the Discrete Modified Novikov–Veselov Hierarchy
, 2010
"... We construct a discrete analogue of the integrable twodimensional Dirac operator and describe the spectral properties of its eigenfunctions. We construct an integrable discrete analogue of the modified Novikov–Veselov hierarchy. We derive the first two equations of the hierarchy and give explicit ..."
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Cited by 2 (0 self)
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We construct a discrete analogue of the integrable twodimensional Dirac operator and describe the spectral properties of its eigenfunctions. We construct an integrable discrete analogue of the modified Novikov–Veselov hierarchy. We derive the first two equations of the hierarchy and give
Discrete analogues in harmonic analysis: Spherical averages
, 2004
"... and S. Wainger* In this paper we prove an analogue in the discrete setting of Z d, of the spherical maximal theorem for R d. The methods used are twofold: the application of certain “sampling ” techniques, and ideas arising in the study of the number of representations of an integer as a sum of d s ..."
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and S. Wainger* In this paper we prove an analogue in the discrete setting of Z d, of the spherical maximal theorem for R d. The methods used are twofold: the application of certain “sampling ” techniques, and ideas arising in the study of the number of representations of an integer as a sum of d
SOME NONLINEAR DELAY INTEGRAL INEQUALITIES AND THEIR DISCRETE ANALOGUES
"... In this paper, we investigate some nonlinear delay integral inequalities and their analogues which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay differential equations, delay integral equations and delay diff ..."
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In this paper, we investigate some nonlinear delay integral inequalities and their analogues which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay differential equations, delay integral equations and delay
Results 1  10
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96,162