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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…
Haicheng Ma, Xiaohua Liu
Let G be a finite and undirected simple graph on n vertices, A(G) is the adjacency matrix of G , λ 1 ,λ 2 ,...,λ n are eigenvalues of A(G) , then the energy of G is . In this paper, we determine the energy of graphs obtained from a graph by other unary operat…
Vishnu Narayan Mishra, Balaji Raghunath Wadkar, Ramakant Bhardwaj, Idrees A. Khan, Basant Singh
In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by c…
Hongxi Tong, Xiaoqing Wang
In this paper, we construct MDS Euclidean self-dual codes which are ex-tended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes.
Kaiyao Lou
This paper considers the NP (Non-deterministic Polynomial)-hard problem of finding a minimum value of a quadratic program (QP), subject to m non-convex inhomogeneous quadratic constraints. One effective algorithm is proposed to get a feasible solution based o…
M. A. Bakhit, A. E. Shammaky
In this paper, we introduce a class of holomorphic Banach spaces N K of functions on the unit ball B of C n . We develop the necessary and sufficient condition for N K ( B ) spaces to be non-trivial and we discuss the nesting property of N K ( B ) spaces. Als…
Thomas Beatty, Timothy Jones
This paper summarizes research intended to develop a pedagogically friendly argument that establishes the fact that (x,e x ) is never a rational point in the plane. A point (x, y)∈R 2 is rational if both x and y are rational. Applying a method based on Hurwit…
J. Niranjan Goud, M. Rangamma
By using weakly compatible conditions of selfmapping pairs, we prove a com-mon fixed point theorem for six mappings in generalized complete metric spaces. An example is provided to support our result.
Önder Sener, Ayhan Tutar
In this paper, the Steiner area formula and the polar moments of inertia were expressed during one-parameter closed planar motions in complex plane. The Steiner points or Steiner normal concepts were described according to whe-ther rotation number was differe…
Alfred Wünsche
From the theorem 1 formulated in [1], a set of functions of measure zero within the set of all corresponding functions has to be excluded. These are the cases where the Omega functions Ω(u) are piece-wise constant on intervals of equal length and non-in…
Alfred Wünsche
Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties. It leads to an alternative definitio…
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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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