Abstract
Here we derive multivariate weighted fractional representation formulae involving ordinary partial derivatives of first order. Then we present related multivariate weighted fractional Ostrowski type inequalities with respect to uniform norm.
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References
G. Anastassiou, M. Hooshmandasl, A. Ghasemi, F. Moftakharzadeh, Montgomery identities for fractional integrals and related fractional inequalities. J. Inequalities Pure Appl. Math. 10(4, 97), 6 (2009)
G.A. Anastassiou, Multivariate weighted fractional representation formulae and Ostrowski type inequalities. Studia Mathematica Babes Bolyai 59(1), 3–10 (2014)
T. Mamatov, S. Samko, Mixed fractional integration operators in mixed weighted Hölder spaces. Fractional Calculus Appl. Anal. 13(3), 245–259 (2010)
S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, USA, 1993)
D.S. Mitrinovic, J.E. Pecaric, A.M. Fink, Inequalities for Functions and their Integrals and Derivatives (Kluwer Academic Publishers, Dordrecht, 1994)
J.E. Pečarić, On the Čebyšev inequality, Bul. Şti. Tehn. Inst. Politehn, “Traian Vuia” Timiş oara 25(39, 1), 5–9 (1980)
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Anastassiou, G.A. (2016). Multivariate Weighted Fractional Representation Formulae and Ostrowski Inequalities. In: Intelligent Comparisons: Analytic Inequalities. Studies in Computational Intelligence, vol 609. Springer, Cham. https://doi.org/10.1007/978-3-319-21121-3_11
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DOI: https://doi.org/10.1007/978-3-319-21121-3_11
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