Results 1 to 10 of about 66,783 (203)
Between μ-b-open sets and μ-β-open sets in generalized topological spaces [PDF]
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
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On μ-β-Lindelöf sets in generalized topological spaces
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
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More properties of generalized open sets in generalized topological spaces
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.
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Applications of α,β-Symmetrical Functions on a Certain Class of Spirallike Functions
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
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New Bounds for the Sine Function and Tangent Function
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
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An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions
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
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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
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Non-metric geometry as the origin of mass in gauge theories of scale invariance
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
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Complex symmetric Toeplitz operators on the generalized derivative Hardy space
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
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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
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