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Metric Operators, Generalized Hermiticity, and Partial Inner Product Spaces Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Some Difference Integral Inequalities

Authors : G. Bangerezako, J. P. Nuwacu

Published in: Mathematical Structures and Applications

Publisher: Springer International Publishing

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Abstract

We establish difference versions of the classical integral inequalities of Hölder, Cauchy-Schwartz, Minkowski and integral inequalities of Grönwall, Bernoulli and Lyapunov based on the Lagrange method of linear difference equation of first order.

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previous chapter Symplectic Affine Action and Momentum with Cocycle
next chapter Theoretical and Numerical Comparisons of the Parameter Estimator of the Fractional Brownian Motion
Literature
1.
R. Askey, J. Wilson Some basic hypergeometric orthogonal polynomials that generalize the Jacobi polynomials. Mem. Am. Math. Soc. 54, 1–55 (1985)
2.
G. Bangerezako, J.P. Nuwacu, q-Non uniform difference calculus and classical integral inequalities. J. Inequal. Appl. (accepted for publication)
3.
S. Elaydi, An Introduction to Difference Equations (Springer, New York, 2006)
4.
H.F. Jackson, q-Difference equations. Am. J. Math. 32, 305–314 (1910)
5.
A.P. Magnus, Associated Askey-Wilson polynomials as Laguerre-Hahn Orthogonal Polynomials. Springer Lectures Notes in Mathematics, vol. 1329 (Springer, Berlin 1988), pp. 261–278
6.
A.P. Magnus, Special nonuniform lattices (snul) orthogonal polynomials on discrete dense sets of points. J. Comput. Appl. Math. 65, 253–265 (1995)MathSciNetCrossRef
Metadata
Title
Some Difference Integral Inequalities
Authors
G. Bangerezako
J. P. Nuwacu
Copyright Year
2018
Book
Mathematical Structures and Applications

Print ISBN: 978-3-319-97174-2

Electronic ISBN: 978-3-319-97175-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-97175-9_5

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