Results 11 to 20 of about 449 (87)

Interpolation by Hankel translates of a basis function: inversion formulas and polynomial bounds. [PDF]

ScientificWorldJournal, 2014
For μ ≥ −1/2, the authors have developed elsewhere a scheme for interpolation by Hankel translates of a basis function Φ in certain spaces of continuous functions Yn (n ∈ ℕ) depending on a weight w. The functions Φ and w are connected through the distributional identity t4n(hμ′Φ)(t)=1/w(t), where hμ′ denotes the generalized Hankel transform of order μ.
Arteaga C, Marrero I.
europepmc   +2 more sources

A (Discrete) Homotopy Theory for Geometric Spaces

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
We define the concepts of homotopy and fundamental group for geometric spaces as a generalization of metric spaces, digital spaces, and graphs; then, we compare them with corresponding concepts in these spaces. Also, we state some properties of the fundamental group of geometric spaces and some theorems to calculate them.
Asieh Pourhaghani, Hamid Torabi, Ljubisa Kocinac   +2 more
wiley   +1 more source

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source

Multicriteria Decision‐Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single‐Valued Neutrosophic Structure

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed, Zaheer Ahmad, Shahbaz Ali, Augustine Larweh Mahu, Walid F. A Mosa, Dragan Z. Marinkovic   +5 more
wiley   +1 more source

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao, Qixin Zhou, Ruiqi Cai, Aysha Khan, Zahir Shah   +4 more
wiley   +1 more source

Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque, Inayatur Rehman, Gohar Ali   +2 more
wiley   +1 more source

Soft Substructures in Quantales and Their Approximations Based on Soft Relations

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Huan Zhou, Saqib Mazher Qurashi, Muti Ur Rehman, Muhammad Shabir, Rani Sumaira Kanwal, Ahmed Mostafa Khalil, Carmen De Maio   +6 more
wiley   +1 more source

Factorizable Ordered Hypergroupoids with Applications

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi, Hao Guan, Maryam Akhoundi, Saber Omidi, Yong Aaron Tan   +4 more
wiley   +1 more source

Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials [PDF]

, 2011
Let $p,q$ positive integers. The groups $U_p(\b C)$ and $U_p(\b C)\times U_q(\b C) $ act on the Heisenberg group $H_{p,q}:=M_{p,q}(\b C)\times \b R$ canonically as groups of automorphisms where $M_{p,q}(\b C)$ is the vector space of all complex $p\times ...
Michael Voit, Ξq R, Ξq R
core   +1 more source