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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…
Erdal Bas, Funda Metin
In this paper, spectral analysis of fractional Sturm Liouville problem defined on (0, 1], having the singularity of type at zero and researched the fundamental properties of the eigenfunctions and eigenvalues for the operator. We show that the eigenvalues and…
Norbert Mahoungou Moukala, Basile Guy Richard Bossoto
In this paper, M is a smooth manifold of finite dimension n, A is a local algebra and M A is the associated Weil bundle. We study Poisson vector fields on M A and we prove that all globally hamiltonian vector fields on M A are Poisson vector fields.
Barchand Chanam
Let be a polynomial of degree n and for a complex number , let denote the polar derivative of the polynomial with respect to . In this paper, first we extend as well as generalize the result proved by Dewan and Mir [Inter. Jour. Math. and Math. Sci., 16 (2005…
A. Gnanam, C. Dinesh
In this paper, we introduce Farey triangle graph , Farey triangle matrix , complementary Farey triangle graph and complementary Farey triangle matrix , and we derive some properties of the following matrices.
Krzysztof Pszczoła
In this paper we study the structure of k -transitive closures of directed paths and formulate several properties. Concept of k -transitive orientation generalizes the traditional concept of transitive orientation of a graph.
Uttam Ghosh, Susmita Sarkar, Shantanu Das
The classical example of no-where differentiable but everywhere continuous function is Weierstrass function. In this paper we have defined fractional order Weierstrass function in terms of Jumarie fractional trigonometric functions. The H?lder exponent and Bo…
Odalis Mejía, Nelson Merentes, José Luis Sánchez
In this paper, we proof some properties of the space of bounded p(·)-variation in Wiener’s sense. We show that a functions is of bounded p(·)-variation in Wiener’s sense with variable exponent if and only if it is the composition of a bounded nondecreasing fu…
Dean Hathout
Sine-generated curves belong to a class of intrinsic functions which describe a curve by specifying its “direction angle”. The curve is determined by ω, the maximum angle which the curve makes with the horizontal, and the fact that the direction angle changes…
Petar Petrov
Let be a hypercube in R n . We prove theorems concerning mean-values of harmonic and polyharmonic functions on I n ( r ), which can be considered as natural analogues of the famous Gauss surface and volume mean-value formulas for harmonic functions on the bal…
Lian Chen, Junsheng Duan
Using the Picard iteration method and treating the involved integration by numerical quadrature formulas, we propose a numerical scheme for the second kind nonlinear Volterra integral equations. For enlarging the convergence region of the Picard iteration met…
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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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