DSpace Collection: Volume 40, Number 1
http://hdl.handle.net/10525/3430
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Most General Fractional Representation Formula for Functions and Implications
http://hdl.handle.net/10525/3454
Title: Most General Fractional Representation Formula for Functions and Implications<br/><br/>Authors: Anastassiou, George A.<br/><br/>Abstract: Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, [3], [4], [5]. The last include most of the well-known fractional integrals such as of Riemann-Liouville, Erdélyi-Kober and Saigo, etc. Based on these we derive very general fractional Ostrowski type inequalities. 2010 Mathematics Subject Classification: 26A33, 26D10, 26D15.Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples
http://hdl.handle.net/10525/3453
Title: Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples<br/><br/>Authors: Li, Naiyi; Li, Yongming<br/><br/>Abstract: By using weighted kernel-type density estimator, the empirical Bayes test rules for parameter of Exponential-Weibull distribution are constructed and the asymptotically optimal property is obtained under negative associated samples. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^−1/2) under very mild conditions. 2010 Mathematics Subject Classification: 62C12, 62F12.Interval Criteria for Forced Oscillation of Functional Differential Equations with γ-Laplacian, Damping and Mixed Nonlinearities
http://hdl.handle.net/10525/3452
Title: Interval Criteria for Forced Oscillation of Functional Differential Equations with γ-Laplacian, Damping and Mixed Nonlinearities<br/><br/>Authors: El-Shobaky, E.; Elabbasy, E. M.; Hassan, T. S.; Glalah, B. A.<br/><br/>Abstract: 2010 Mathematics Subject Classification: 34C10, 34C15.On The Set-Theoretic Complete Intersection Property for the Edge Ideals of Whisker Graphs
http://hdl.handle.net/10525/3451
Title: On The Set-Theoretic Complete Intersection Property for the Edge Ideals of Whisker Graphs<br/><br/>Authors: Macchia, Antonio<br/><br/>Abstract: We show that the edge ideals of some whisker graphs are set-theoretic complete intersections. 2010 Mathematics Subject Classification: 13A15, 13F55, 14M10, 05C05, 05C38.Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function
http://hdl.handle.net/10525/3450
Title: Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function<br/><br/>Authors: Raj, Kuldip; Sharma, Sunil K.<br/><br/>Abstract: In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces. 2010 Mathematics Subject Classification: 40A05, 46A45, 46E30.Sufficient condition for Strongly Starlike and Convex Functions
http://hdl.handle.net/10525/3449
Title: Sufficient condition for Strongly Starlike and Convex Functions<br/><br/>Authors: Kargar, Rahim; Aghalary, Rasoul<br/><br/>Abstract: In this paper, we obtain sufficient conditions for analytic functions f(z) in the open unit disk ∆ to be strongly starlike and strongly convex of order β and type α. Some interesting corollaries of the results presented here are also discussed.<br/><br/>Description: 2010 Mathematics Subject Classification: Primary 30C45; Secondary 30C80.Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres
http://hdl.handle.net/10525/3448
Title: Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres<br/><br/>Authors: Szabó, Sándor<br/><br/>Abstract: The paper addresses the problem if the n-dimensional Euclidean space can be tiled with translated copies of Lee spheres of not necessarily equal radii such that at least one of the Lee spheres has radius at least 2. It will be showed that for n = 3, 4 there is no such tiling. 2010 Mathematics Subject Classification: Primary 94B60; Secondary 05B45, 52C22.