Abstract
Here we give the necessary background on delta time scales approach. Then we present general related time scales delta Iyengar type inequalities for all basic norms. We finish with applications to specific time scales like \( \mathbb {R},\) \(\mathbb {Z}\) and \(q^{\overline{\mathbb {Z}}}\), \(q>1.\) See also [5].
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References
R. Agarwal, M. Bohner, Basic Calculus on time scales and some of its applications. Results Math. 35(1–2), 3–22 (1999)
R. Agarwal, M. Bohner, A. Peterson, Inequalities on time scales: a survey. Math. Inequalities Appl. 4(4), 535–557 (2001)
G.A. Anastassiou, Time scales inequalities. Intern. J. Differ. Equ. 5(1), 1–23 (2010)
G. Anastassiou, Intelligent Mathematics: Computational Analysis (Springer, Heidelberg, 2011)
G. Anastassiou, Time scales delta Iyengar type inequalities. Intern. J. Differ. Equ. (2019)
M. Bohner, G. Guisenov, The Convolution on time scales. Abstr. Appl. Anal. 2007(58373), 24 (2007)
M. Bohner, B. Kaymakcalan, Opial inequalities on time scales. Ann. Polon. Math. 77(1), 11–20 (2001)
M. Bohner, T. Matthews, Ostrowski inequalities on time scales. JIPAM J. Inequal. Pure Appl. Math. 9(1), Article 6, 8 (2008)
M. Bohner, A. Peterson, Dynamic equations on time scales: An Introduction with Applications (Birkhäuser, Boston, 2001)
R. Higgins, A. Peterson, Cauchy functions and Taylor’s formula for Time scales \(T\), in Proceedings of the Sixth International Conference on Difference equations: New Progress in Difference Equations, Augsburg, Germany, 2001, eds. by B. Aulbach, S. Elaydi, G. Ladas (Chapman & Hall / CRC, Boca Raton, 2004), pp. 299–308
S. Hilger, Ein Maßketten-Kalkül mit Anwendung auf Zentrum-smannigfaltigkeiten, Ph.D. thesis, Universität Würzburg, Würzburg, 1988
K.S.K. Iyengar, Note on an inequality. Math. Stud. 6, 75–76 (1938)
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Anastassiou, G.A. (2020). Delta Time Scales Iyengar Inequalities. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_8
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DOI: https://doi.org/10.1007/978-3-030-38636-8_8
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