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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Scopus
ISSN 1844-0835 · Sciendo · 698 artikel di indeks
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Artikel Jurnal
Sums of bases-exponents positive integer powers
We consider natural numbers that can be represented as sums of positive integer powers greater than 1, such that the set of bases coincides with the set of exponents. We address this issue by indicating some equalities and relations, defining some new integer sequences recently introduced in the…
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Existence results for a class of hemivariational-like inequality problems
In this work, we establish existence results for a class of hemivariational-like inequality problems driven by a trifunction and perturbed by a bifunction. Initially, we establish solvability results based on the weak compactness of the constraint set. Subsequently, under appropriate coercivity…
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On the Hilbert depth of the quotient ring of the edge ideal of a star graph
Let Sn = K[x1, . . . , xn, y] and In = (x1y, x2y, . . . , xny) ⊂ Sn be the edge ideal of star graph. We prove that hdepth (Sn/In)≥⌈n2⌉+⌊n⌋-2\left( {S_n /I_n } \right) \ge \left\lceil {{n \over 2}} \right\rceil + \left\lfloor {\sqrt n } \right\rfloor - 2 . Also, we show that for any ε > 0, there…
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Another inequality inspired by Erdős
One less common inequality in positive integers is carefully examined.
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Fractal nonlocal thermoelastic dynamics of imperfect curved functionally graded nanobeam with memory effect
This study presents an exact analytical investigation into the vibrational behavior of imperfect curved nanobeams under uniform thermal conditions, incorporating fractal geometry to model material heterogeneity at multiple scales. The analysis employs a combined nonlocal–strain gradient model to…
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Convergence analysis of an iterative algorithm for generalized nonexpansive mappings in Hadamard manifolds
This paper presents a novel iterative scheme for approximating fixed points of generalized nonexpansive mappings in Hadamard manifolds. Under mild and standard conditions on the control parameters, we establish comprehensive convergence results for the algorithm. We further introduce an iterative…
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3-Parameter Generalized Quaternions and Dual Quaternions with Repunit Number Components
In this paper, our first aim is to combine the 3-parameter generalized quaternions, which are a general form of the quaternion algebra according to 3-parameters, and repunit numbers, which are created by integer numbers that are expressed in the decimal system as the repetition of the unit. That…
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ℓ-generalized prime factors counting functions
To study the number of extra prime factors beyond the first ℓ − 1 occurrences of a prime p in the factorization of an integer n, this paper introduces the ℓ-generalized prime factors counting arithmetic function ΩA,ℓ. Key results include the Dirichlet series, an exact summatory formula, and the…
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A note on the extension of some triangular Diophantine sets
Let n be an integer. We call a set of m distinct positive integers a triangular D(n)-m-tuple if the product of its two distinct elements increased by n is the triangular number. In this paper, we consider the extension of the triangular D(k)-pair {k, 2k}, for k = 10 and k = 28, and prove that such…
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About on the obtaining of some quantum code parameters from (−2vm−1 + 1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q
In this study, the hull dimensions of (−2vm−1 +1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q with vm = v are determined. In addition, by using a special Gray map, a necessary condition is given under which the generator polynomial of a (−2vm−1 + 1)-constacyclic code over R…
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Convolution features of univalent meromorphic functions generated by Barnes-Mittag-Leffler function
The Mittag-Leffler function plays an important role in Geometric Function Theory, particularly in the study of analytic and meromorphic function classes. Among its various generalizations, the Barnes-Mittag-Leffler function stands out due to its intricate structure and applications in diverse…
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On The (De)Homogenization of Sagbi-Gröbner Bases for Modules
This article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization. We prove that the Sagbi-Gröbner basis for submodules over subalgebras behaves well in these processes, as the property of being a Sagbi-Gröbner…
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Bipolar Fuzzy n-Fold Positive Implicative and Fantastic Filters in Hoop Algebras with Applications to Fuzzy Logic
In this paper, we introduce and study the notion of bipolar fuzzy n-fold positive implicative filters within the framework of hoop algebras, and examine their fundamental properties. We also define and investigate bipolar fuzzy n-fold fantastic filters, thereby extending bipolar fuzzy set theory…
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On Tribonacci numbers written as a product of three Fibonacci numbers
The present paper examines the following Diophantine equation: Tn = Fk · Fl · Fm where Tn is the n-th Tribonacci number and likewise Fk is the k-th Fibonacci number and so on as variables. As an application of the Baker’s method, we show that the equation has only one solution apart from the…
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Fixed point theory in admissible acyclic dominated spaces
In this paper we present Lefschetz type fixed point theorems for maps defined on admissible acyclic dominated spaces.
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Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System
In this paper, we examine the local well-posedness of the initial value problem for the HirotaSatsuma system within Gevrey spaces. This system, which consists of a coupled nonlinear dispersive partial differential equation, models the interactions between long and short waves and is known for its…
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A study of fractional differential equations with proportional boundary conditions
This article deals with a new concept of nonlocal proportional segmental boundary conditions with respect to initial and terminal sections of the given domain. Equipped with these conditions, we investigate the existence and uniqueness of solutions for a Caputo-type fractional differential equation…
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Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space
This paper presents a quaternion-based framework for constructing rotation-minimizing motions in Euclidean 3-space, formulated via quaternion operator. By introducing a novel quaternion operator, we derive angular velocity representations directly from the quaternion derivative and its conjugate…
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Interpolative contractions on perturbed metric spaces
In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new results. Moreover, we give extend our results and…
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Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial
Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the bi-starlike and biconvex function of complex…