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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…
E. A. Al Zahrani, M. A. Mourou
We consider a singular differential-difference operator Λ on R which includes as a particular case the one-dimensional Dunkl operator. By using harmonic analysis tools corresponding to Λ, we introduce and study a new continuous wavelet transform on R tied to…
Enrico Au-Yeung
The theory of frames has been actively developed by many authors over the past two decades, both for its applications to signal processing, and for its deep connections to other areas of mathematics such as operator theory. Central to the study of frames is t…
Halyna Harmatij, Marta Król, Vasyl Popovycz
Nonlinear nonstationary heat conduction problem for infinite circular cylinder under a complex heat transfer taking into account the temperature dependence of thermophysical characteristics of materials is solved numerically by the method of lines. Directing…
Sobhy El-Sayed Ibrahim
In this paper, we consider the general quasi-differential expressions each of order n with complex coefficients and their formal adjoints on the int erval ( a , b ). It is shown in direct sum spaces of functions defined on each of the separate intervals with…
Young Jae Sim, Oh Sang Kwon
For real number s α and β such that 0 ≤ α ＜ 1 ＜ β , we denote by T ( α , β ) the class of normalized analytic functions which satisfy , where U denotes the open unit disk. We find some relationships involving functions in the class T ( α , β ) . And we estima…
Edgar A. Cohen
It has been shown by Sierpinski that a compact, Hausdorff, connected topological space (otherwise known as a continuum) cannot be decomposed into either a finite number of two or more disjoint, nonempty, closed sets or a countably infinite family of such sets…
Paul Benioff
For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling of the…
Menshikov Yu
The inverse problems for motions of dynamic systems of which are described by system of the ordinary differential equations are examined. The classification of such type of inverse problems is given. It was shown that inverse problems can be divided into two…
Yuzhuo Yuan, Lihong Dong, Zhengming Jiao
In this paper the integrals of entwining structure ( A , C , ψ ) are discussed, where A is a k -algebra, C a k -coalgebra and a k -linear map. We prove that there exists a normalized integral γ : C → Hom( C , A ) of ( A , C , ψ ) if and only if any representa…
Chunyan Fan, Hailou Yao
We study the properties of torsion pairs in triangulated category by introducing the notions of d-Ext-projectivity and d-Ext-injectivity. In terms of - mutation of torsion pairs, we investigate the properties of torsion pairs in triangulated category under so…
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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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