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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…
Mustapha Laayouni
Convex analysis plays a fundamental role in mathematics. In this paper, we extend the concept of convexity to vector-valued functions in Banach lattices. We introduce the notion of “order convexity” (o-convexity) and explore its properties, generalizing sever…
Anton Goncear
This extensive research paper provides a thorough investigation of the algebraic structure of complex products in groups, with comprehensive analysis of both commutative and non-commutative settings. We begin with fundamental definitions and progress to advan…
James Evans, Andrzej Korzeniowski
We obtain an infinite series expression for the joint probability density function of occupation times in a Three-State Markov chain. By extending the identity given by Darroch, we demonstrate that Pedler’s technique of employing moment generating functions c…
Cheng Wei, Heng Su, Xiaojing Zhao
The Novikov equation is an important shallow water wave model with broad applications in fields, such as fluid mechanics and physics. In this paper, a generalized b-family of Novikov equation is studied by the bifurcation theory method of dynamical system. Fi…
Jen Chieh Lo
This paper establishes new Hermite-Hadamard-Fejér type inequalities for functions that are ( η 1 , η 2 ) -convex on the coordinates. By employing weighted symmetric functions and generalized invexity, we derive several double integral inequalities that extend…
Jen Chieh Lo
In this paper, we establish new Hermite-Hadamard-Mercer type inequalities for functions that are convex on the coordinates by employing the framework of generalized fractional integrals. Several integral identities are derived to obtain midpoint, trapezoidal,…
Stephen Macharia Gathigi, Moses Nderitu Gichuki, Kewamoi Chesire Sogomo
Image segmentation is a fundamental process in digital image analysis, with applications in object recognition, medical imaging, and computer vision. Traditional segmentation techniques often struggle with uncertainty, imprecise boundaries, and misclassified…
Salahddeen Khalifa, Moamar Alamari
In this paper, as a result of dividing the set of natural numbers into disjoint levels, we have studied levely multiplicative functions that are defined from N to N and which keep numbers at the same level when restricted on levels, i.e. f | L i : L i → L i .…
Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin
We show that any semiprime number can be factorized as the product of two prime numbers in the form of a kernel factor pair of two out of 48 root numbers. Specifically, each natural number without factors of 2, 3, 5 and 7 can be traced back to one unique numb…
Jean-Francois Pommaret
In the Special Relativity paper of Einstein (1905), only a footnote provides a reference to the conformal group of space-time for the Minkowski metric ω . We prove that General Relativity (1915) will depend on the following cornerstone result of differential…
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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.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
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