Abstract
Here we present a set of multivariate general fractional Polya type integral inequalities on the ball and shell.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G.A. Anastassiou, Fractional Differentiation Inequalities (Springer, New York, 2009)
G.A. Anastassiou, On right fractional calculus. Chaos, Solitons Fractals 42, 365–376 (2009)
G.A. Anastassiou, Balanced Canavati type fractional Opial inequalities, J. Appl. Funct. Anal. 9(3–4), 230–238 (2014)
G.A. Anastassiou, Multivariate generalised fractional Polya type integral inequalities. Stud. Math. Babes Bolyai 58(3), 297–323 (2013)
G.A. Anastassiou, Fractional Polya type integral inequality. J. Comput. Anal. Appl. 17(4), 736–742 (2014)
J.A. Canavati, The Riemann-Liouville integral. Nieuw Archief Voor Wiskunde 5(1), 53–75 (1987)
A.M.A. El-Sayed, M. Gaber, On the finite Caputo and finite Riesz derivatives. Electron. J. Theor. Phys. 3(12), 81–95 (2006)
G.S. Frederico, D.F.M. Torres, Fractional optimal control in the sense of Caputo and the fractional Noether’s theorem. Int. Math. Forum 3(10), 479–493 (2008)
R. Gorenflo, F. Mainardi, Essentials of fractional calculus (Maphysto Center, 2000), http://www.maphysto.dk/oldpages/events/LevyCAC2000/MainardiNotes/fm2k0a.ps
G. Polya, Ein mittelwertsatz für Funktionen mehrerer Veränderlichen. Tohoku Math. J. 19, 1–3 (1921)
G. Polya, G. Szegö, Aufgaben und Lehrs ätze aus der Analysis (Springer, Berlin, 1925). (German)
G. Polya, G. Szegö, Problems and Theorems in Analysis, vol. I (Springer, Berlin, 1972)
G. Polya, G. Szegö, Problems and Theorems in Analysis, vol. I, Chinese Edition (Chinese Academy of Sciences, Beijing, 1984)
F. Qi, Polya type integral inequalities: origin, variants, proofs, refinements, generalizations, equivalences, and applications. RGMIA Res. Rep. Coll. 16(2013), article no. 20. http://rgmia.org/v16.php
W. Rudin, Real and Complex Analysis (McGraw Hill, London, 1970)
S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, (Gordon and Breach, Amsterdam, 1993) [English translation from the Russian, Integrals and Derivatives of Fractional Order and Some of Their Applications (Nauka i Tekhnika, Minsk, 1987)]
D. Stroock, A Concise Introduction to the Theory of Integration, 3rd edn. (Birkhaüser, Boston, 1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Anastassiou, G.A. (2016). About Multivariate General Fractional Polya Integral Inequalities. In: Intelligent Comparisons: Analytic Inequalities. Studies in Computational Intelligence, vol 609. Springer, Cham. https://doi.org/10.1007/978-3-319-21121-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-21121-3_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21120-6
Online ISBN: 978-3-319-21121-3
eBook Packages: EngineeringEngineering (R0)