Abstract
We establish here complex Opial type inequalities for analytic functions from a complex numbers domain into the set of complex numbers. See also [3].
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References
A.G. Anastassiou, Fractional Differentiation Inequalities (Springer, Heidelberg, 2009)
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G.A. Anastassiou, Complex opial type inequalities, submitted for publication (2019)
S.S. Dragomir, An integral representation of the remainder in Taylor’s expansion formula for analytic function on general domains. RGMIA Res. Rep. Coll. 22, Art. 2 (2019), 14 pp, http://rgmia.org/v22.php
Z. Opial, Sur une inegalité. Ann. Polon. Math. 8, 29–32 (1960)
D. Willett, The existence-uniqueness theorems for an nth order linear ordinary differential equation. Am. Math. Monthly 75, 174–178 (1968)
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Anastassiou, G.A. (2020). Complex Opial 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_22
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DOI: https://doi.org/10.1007/978-3-030-38636-8_22
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