Aurel Vlaicu University of Arad Editing House: Journals
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New Subclasses of Analytic and Bi-Univalent Functions Involving a New Integral Operator Defined by Polylogarithm Function
In the present investigation, we introduce two new subclasses of the function class sigma of bi-univalent functions in the open unit disc. Also, we find coefficient estimates on the coefficients a2 and a3 for functions in the function class, and several related classes are also considered, and connections to earlier known results are made
Statistical Convergence and C-operator Algebras
In this article, we define in terms of Berezin symbols, reproducing kernels, and statistical radial convergence the notion of generalized Englis algebra, which is a C-star operator algebra on the Hardy space H2, and study some of its properties
ART AS EXPRESION OF FEELINGS FOR CHILDREN: 10.24250/jpe/1/2025/CVC/
Art, as a sensory expression os sometimes characterized as a therapeutic medium through which children articulate theiremotions. A prevalent notion in certain educational institutionsis that the sole justification for creating art is for pupils toexpress feelings, rather than as an integral academic process.Art is perceived as a cathartic process through which emotionsdisclose their source. Traditionally, mathematics and literatureare conducted in the morning and hold significant importance inthe school curriculum. It is unsurprising that art is perceived asan emotional outlet, particularly when children exhibitdiminished cognitive concentration. The arts, characterized byan ambiance of joy and emotional expression, are a compellingcandidate for therapeutic intervention. We must acknowledgethat this is merely a supplementary role; nonetheless, if it servessolely for emotional release, its significance aligns more closelywith psychiatry than with expressive art
BIBLIOMETRIC INSIGHTS ON EDUCATIONAL ASPECTS OF WELLNESS TOURISM: PROMOTING HEALTH AND CULTURAL AWARENESS: 10.24250/jpe/1/2025/MA/SA/
The tourism and wellness sectors are combined in thewellness tourism sector which can satisfy people's dualrequirements for travel and health and promote a healthy way oflife. (Y. Li & Wen, 2024). Wellness tourism provides physical,quality-of-life, psychological, and environmental healthadvantages (Liao et al., 2023). In an era of increasing stress,wellness has transformed into a lifestyle of self-discovery and thewellness tourism industry is growing at a pace (K. H. Chen et al.,2013). This research aims to expand knowledge about wellnesstourism by exploring its structural dimensions and potential as amultidisciplinary educational tool. By examining its integrationinto educational frameworks, the study highlights wellnesstourism as a valuable resource for teaching sustainablepractices, cultural awareness, and holistic health principles.Thus, this study conducted a bibliometric analysis of wellnesstourism publications by extracting the data from the Scopusdatabase. 495 documents were considered for final analysisthrough biblioshiny and Vosviewer. Performance analysis suchas most productive authors, journals, papers, annual productionpatterns, and science mapping such as bibliographic coupling,world collaboration, co-citation analysis, etc was conducted.The findings provide insights for researchers, educators, andindustry professionals to advance the field and incorporatewellness tourism into academic curricula and trainingprograms
Proximate Growth and Best Approximation in Lp-norm of Entire Functions
Let 0 be less than p less than infinity and Vg be the supremum of the absolute value of P in Pd, where Pd is the set of polynomials of degree less than d, and the norm of P on K is less than or equal to 1. Here, K is an L-regular compact set. The aim of this paper is to characterize the proximate growth of entire functions of several complex variables using the best polynomial approximation in the Lp-norm on an L-regular compact K
Zweier I-convergent Sequence Spaces Defined by a Sequence of Moduli
In this article, we introduce the sequence spaces Z^I(F), Z^J_0(F), and Z^L_m(F) for a sequence of moduli F = (f_i) and study some of the topological and algebraic properties on these spaces
Some Families of q-Series Identities and Associated Continued Fractions
In this paper, by using some known q-identities, the authors derive several results involving q-series and associatedcontinued fractions. Some other closely-related q-identities are also considered
Quadratic Equations in Tropical Regions
In this note, the reader is invited to a walk through tropical semifields and the places where they border on“ordinary” algebra. Though mostly neglected in today’s lectures on algebra, we point to the places where tropicalstructures inevitably pervade, and show that they frequently occur in ring theory and classical algebra, touching atleast functional analysis, and algebraic geometry. Specifically, it is explained how valuation theory, which playsan essential part in classical commutative algebra and algebraic geometry, is essentially tropical. In particular, itis shown that Eisenstein’s well-known irreducibility criterion and other more powerful criteria follow immediatelyby tropicalization. Some applications to algebraic equations in characteric 1, neat B´ezout domains, and rings ofcontinuous functions are given
Matrix Representations of Fuzzy Quaternion Numbers
In this paper, firstly we discuss basic arithmetic operations with fuzzy quaternion numbers. Then, we introduce anoncommutative field, formed with 2 x 2 fuzzy complex matrices which is used for the matrix representation of fuzzyquaternion numbers as elements within this field. Finally, another way of representing fuzzy quaternion numbers isobtained by using 4 x 4 fuzzy real matrices
Fuzzy M-Open Sets
In this paper, we introduce the relatively new notion of fuzzy M-open subset which is strictly weaker than fuzzyopen. We prove that the collection of all fuzzy M-open subsets of a fuzzy space forms a fuzzy topology that is finerthan the original one. Several characterizations and properties of this class are also given as well as connections toother well-known ”fuzzy generalized open” subsets