Results 1 to 10 of about 66,783 (203)

Between μ-b-open sets and μ-β-open sets in generalized topological spaces [PDF]

open access: yesHeliyon, 2023
We introduce and study a new class of generalized open sets in generalized topological spaces, called μ‾-open sets. μ‾-open sets are strictly placed between μ-b-open sets and μ-β-open sets.
Mohammad S. Sarsak
doaj   +2 more sources

On μ-β-Lindelöf sets in generalized topological spaces

open access: yesHeliyon, 2023
We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called ωμ-β-open sets, and
Mohammad S. Sarsak
doaj   +1 more source

More properties of generalized open sets in generalized topological spaces

open access: yesDemonstratio Mathematica, 2022
Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
doaj   +1 more source

Applications of α,β-Symmetrical Functions on a Certain Class of Spirallike Functions

open access: yesJournal of Function Spaces, 2022
In this note, we use the notions of α,β-symmetrical, generalized Janowski-type and spirallike functions to define a new class Sα,βλN,M,μ defined in the open unit disk.
Aljazi Alkhammash, Fuad Alsarari
doaj   +1 more source

New Bounds for the Sine Function and Tangent Function

open access: yesMathematics, 2021
Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x2sin(λx)/(λx)α and x2tan(μx)/(μx)β.
Ling Zhu
doaj   +1 more source

An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions

open access: yesAxioms, 2022
In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced.
Ala Amourah   +3 more
doaj   +1 more source

Double-Composed Metric Spaces

open access: yesMathematics, 2023
The double-controlled metric-type space (X,D) is a metric space in which the triangle inequality has the form D(η,μ)≤ζ1(η,θ)D(η,θ)+ζ2(θ,μ)D(θ,μ) for all η,θ,μ∈X. The maps ζ1,ζ2:X×X→[1,∞) are called control functions.
Irshad Ayoob   +2 more
doaj   +1 more source

Non-metric geometry as the origin of mass in gauge theories of scale invariance

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
doaj   +1 more source

Complex symmetric Toeplitz operators on the generalized derivative Hardy space

open access: yesJournal of Inequalities and Applications, 2022
The generalized derivative Hardy space S α , β 2 ( D ) $S^{2}_{\alpha ,\beta}(\mathbb{D})$ consists of all functions whose derivatives are in the Hardy and Bergman spaces as follows: for positive integers α, β, S α , β 2 ( D ) = { f ∈ H ( D ) : ∥ f ∥ S α
Eungil Ko, Ji Eun Lee, Jongrak Lee
doaj   +1 more source

Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

open access: yesAxioms, 2021
In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this ...
Hari Mohan Srivastava   +2 more
doaj   +1 more source

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