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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…
Ben Ntatin, William Glunt
The following article has been retracted due to the investigation of complaints received against it. The Editorial Board found that substantial portions of the text came from other published papers. The scientific community takes a very strong view on this ma…
Jae Ho Choi
By using a method based upon the Briot-Bouquet differential subordination, we investigate some subordination properties of the generalized fractional integral operator which was defined by Owa, Saigo and Srivastava [1]. Some interesting further consequences a…
Huiping Jing, Luming Shen
The error-sum function of alternating Sylvester series is introduced. Some elementary properties of this function are studied. Also, the hausdorff dimension of the graph of such function is determined.
I. M. R. Pinheiro
In this paper, we propose a refinement in the analytical definition of the s 2 -convex classes of functions aiming to progress further in the direction of including s 2 -convexity properly in the body of Real Analysis.
Safeer Hussain Khan, H. Fukhar-ud-din
We establish weak and strong convergence of Ishikawa type iterates of two pointwise asymptotic nonexpansive maps in a Hadamard space. For weak and strong convergence results, we drop “rate of convergence condition”, namely (C n (x)-1)＜ to answer in the affirm…
Isaac Kwame Dontwi, William Obeng-Denteh
In this paper we embark on the study of Dynamic Systems of Shifts in the space of piece-wise continuous functions analogue to the known Bebutov system. We give a formal definition of a topological dynamic system in the space of piece-wise continuous functions…
Dawoud Ahmadi Dastjerdi, Maliheh Dabbaghian Amiri
We will present some restrictions for a rigidity sequence of a nontrivial topological dynamical system. For instance, any finite linear combination of a rigidity sequence by integers has upper Banach density zero. However, there are rigidity sequences for som…
Somantika Datta
Stochastic waveforms are constructed whose expected autocorrelation can be made arbitrarily small outside the origin. These waveforms are unimodular and complex-valued. Waveforms with such spike like autocorrelation are desirable in waveform design and are pa…
Ghazi S. Khammash, A. Shehata
In this paper we introduce Humbert matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert matrix polynomials of two variables, the double generating matrix functions and expansions of the Humbert matrix polynomials of t…
Md. Ilyas, Reyaz Ahmad
We introduce a new family of classes of operators termed as * p -paranormal operator, classes *A(p,p); p > 0 and *A(p,q); p , q > 0, parallel to p -paranormal operator and classes A(p,p); p > 0 and A(p,q); p , q > 0 introduced by M. Fujii, D. Jung, S. H. Lee,…
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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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