Işık Üniversitesi Yayınları: Recent submissions
Now showing items 1-20 of 1285
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Estimates of Toeplitz determinants for certain subclasses of bi-univalent function related to modified sigmoid function
(Işık University Press, 2025-07-01)The current comprehensive study aimed to determine upper bounds of Toeplitz determinants for some subclasses of bi-univalent functions. A function f ∈ A is said to be bi-univalent in ∆ if both f and f−1 are univalent in ... -
An improvement and a generalization of Ankeny and Rivlin’s result on the maximum modulus of polynomials
(Işık University Press, 2025-07-01)For an arbitrary entire function f(z), let M(f, r) = max|z|=r|f(z)|. By considering the polynomial of degree n having no zero in the interior of the unit circle|z| = 1, Ankeny and Rivlin obtained M(p, R) ≤ Rn + 1/2 M(p, ... -
A study on (c, d) IF − Q uniform spectral spaces
(Işık University Press, 2025-07-01)A conceptual way of approach to sober space is explored by the irreducibility of closed sets and their components in topological spaces. Sober space has been defined by both generic points and the irreducibility of closed ... -
A study on upper deg-centric graphs
(Işık University Press, 2025-07-01)The upper deg-centric graph of a simple, connected graph G, denoted by Gud, is a graph constructed from G such that V (Gud) = V (G) and E(Gud) = {vivj : dG(vi, vj ) ≥ degG(vi)}. This paper introduces and discusses the ... -
Neutrosophic over soft generalized continuous functions: a paradigm shift in best invention competition machine selection
(Işık University Press, 2025-07-01)In today’s complex and uncertain world, the emergence of neutrosophic environments is becoming increasingly essential. These frameworks excel at navigating ambiguity, providing valuable tools for understanding and managing ... -
Equitable colorings of Cartesian products of square of paths and cycles with square of paths and cycles
(Işık University Press, 2025-07-01)Let [p] = {1, 2, 3, . . . , p} and G be an undirected simple graph. Graph coloring is a special case of labeling, and G is said to admit a proper coloring if no two neighbouring vertices of it are given an identical color. ... -
Study of growth of certain second order linear differential equations
(Işık University Press, 2025-07-01)In this article, we study the solutions of second-order linear differential equations by considering various conditions on the coefficients of the homogeneous linear differential equation and non-homogeneous linear ... -
Extracting triple connected certified domination number for the strong product of paths and cycles
(Işık University Press, 2025-07-01)A dominating set S of a graph G is said to be a triple connected certified dominating set (TCCD - set) if for every vertex v ∈ S, | N(v) ∩ (V − S) | ̸= 1 and ⟨S⟩ is triple connected. The minimum cardinality of a TCCD - set ... -
Multi-decomposition of complete bipartite graphs and complete graphs into banners and stars of size five
(Işık University Press, 2025-07-01)A decomposition of a graph G is a set of edge disjoint subgraphs H1, H2, ..., Hr of G such that every edge of G belongs to exactly one Hi. If all the subgraphs in the decomposition of G are isomorphic to a graph H, then ... -
Connected certified domination stable and critical graphs upon edge addition
(Işık University Press, 2025-07-01)A set of vertices Dc in a connected graph Γ = (VΓ, EΓ) is called a certified dominating set if |NΓ(u) ∩ (VΓ − Dc)| is either 0 or at least 2, ∀u ∈ Dc. The set Dc is called as connected certified dominating set if |N(u) ∩ ... -
Non-explosion and pathwise uniqueness of strong solutions for jump-type stochastic differential equations driven by optional semimartingales under non-Lipschitz conditions
(Işık University Press, 2025-07-01)This paper is devoted to the question of the pathwise uniqueness and the non-explosion property of strong solutions for a class of jump-type stochastic differential equations (JSDEs) with respect to optional semimartingales ... -
On the classification of Pythagorean fuzzy subgroups of abelian groups
(Işık University Press, 2025-07-01)Pythagorean fuzzy set is one of the most used tool for depicting uncertainty. A divisible subgroup is among the most significant categories of subgroups of an abelian group. The number of Pythagorean fuzzy subgroups in any ... -
Numerical solution of the time-variable fractional order mobile-immobile advection-dispersion model using a hybrid method
(Işık University Press, 2025-07-01)This paper introduces a hybrid numerical method combining the cubic B-spline collocation method with the implicit Euler approximation to solve the timevariable fractional order mobile-immobile advection-dispersion model ... -
Some difference graphs
(Işık University Press, 2025-07-01)In this paper, we discuss difference labeling of various types of graphs, including the star graph, the generalized butterfly graph, the bistar graph, the umbrella graph, and the olive tree. Through our analysis, we ... -
On Iλ- statistical convergence of sequences of bi-complex numbers
(Işık University Press, 2025-07-01)In this paper, we introduce the notion of Iλ- statistical convergence of sequences as one of the extensions of I-statistical convergence of bi-complex numbers. We investigate some fundamental properties of these notion and ... -
On relative uniform convergence of fractional difference sequence of function related to ℓp space
(Işık University Press, 2025-07-01)In this article, we define the notion of relative uniform convergence of fractional difference sequence of the function space rumϕ(∆ᵅ, p), where p ≥ 0. We established many attributes of rumϕ(∆ᵅ, p), including solidity, ... -
Numerical solution of fractional integro-differential equation by collocation Pell-Lucas polynomial method
(Işık University Press, 2025-07-01)The objective of this work is to solve the fractional integro-differential equation using the Pell-Lucas collocation method. In this approach, the fractional derivative is considered in the Caputo sense. The proposed ... -
Solving a fractional nonlinear Schrödinger equation with singular conditions
(Işık University Press, 2025-07-01)In this paper the time-fractional Schr¨odinger equations with singular potentials are studied. Dirac function or even higher-order singularities are allowed. Using the Gronwall lemma and Laplace transforms, we give and ... -
Geometric properties of certain analytic functions
(Işık University Press, 2025-07-01)This paper deals with some geometrical properties of certain subclasses of analytic functions having predetermined second coefficient. Firstly, we determine the growth and distortion estimates for such classes. Moreover, ... -
φ–Nearly Lipschitzian and strongly pseudo-contractive mappings in CATp(0) spaces via fixed point theory
(Işık University Press, 2025-07-01)This paper introduces novel conditions for mappings in CATp(0) spaces, p ≥ 2, that extend existing concepts in the literature. By leveraging the geometric properties of CATp(0) spaces, we establish two fixed point theorems ...
