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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
H. O. Bakodah, Mohamed Abdalla Darwish
We study approximate solutions of a nonlinear integral equation of Hammerstein type. We describe the principle of discrete Adomian decomposition method (DADM). DADM is considered in the case we evaluate numerical integration by using Chebyshev roots. This tec…
Paolo Rocchi, Leonida Gianfagna
Classical statistics and Bayesian statistics refer to the frequentist and subjective theories of probability respectively. Von Mises and De Finetti, who authored those conceptualizations, provide interpretations of the probability that appear incompatible. Th…
Chengyang Gu, Wei Zhou
In this paper, we construct G -designs of complete multipartite graph, where G is five points-six edges.
Hueytzen J. Wu, Wan-Hong Wu
By means of a characterization of compact spaces in terms of open C D * -filters induced by a , a - and open C D * -filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding Y as a dense subspace of , Y S = {ε…
Young Jae Sim, Oh Sang Kwon
In the present paper, we introduce a class of analytic functions in the open unit disc by using the analytic function q α (z)=3/(3+( α -3)z- α z 2 ), which was investigated by Sokó? [1]. We find some properties including the growth theorem or the coefficient…
S. M. Khursheed Haider, Advin Maseih, Mamta Thakur
We study totally umbilical screen transversal lightlike submanifolds immersed in a semi-Riemannian product manifold and obtain necessary and sufficient conditions for induced connection ▽ on a totally umbilical radical screen transversal lightlike submanifold…
Yongjie Piao, Dongzhe Piao
Class of 5-dimensional functions Φ was introduced and a convergent sequence determined by non-self mappings satisfying certain Φ i -contractive condition was constructed, and then that the limit of the sequence is the unique com-mon fixed point of the mapping…
Mohamed Sifi, Fethi Soltani
We consider the harmonic analysis associated with the Dunkl operators on R d . We study the Dunkl mean-periodic functions on the space ε (R d ) (the space of C ∞ -functions). We characterize also the continuous linear mappings from ε (R d ) into itself which…
Leo Depuydt, Richard D. Gill
In Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 1, No. 4 (July 2011), pp. 136-154, the mathematical structure of the much discussed problem of probability known as the Monty Hall problem was mapped in detail. It is styled here as Monty Hall…
Jen-Mei Chang, Chris Peterson, Michael Kirby
Recent work has established that digital images of a human face, when collected with a fixed pose but under a variety of illumination conditions, possess discriminatory information that can be used in classification. In this paper we perform classification on…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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