Results 181 to 190 of about 10,375,970 (302)

On Geometric Phase Model in the Theory of Curves With Myller Configuration

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir   +2 more
wiley   +1 more source

Novel Bernstein‐Kantorovich Type Operators

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Improving Fetal Single‐Voxel Magnetic Resonance Spectroscopy With Spectral Registration

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate whether spectral registration improves spectral quality and quantification reliability in in vivo single‐voxel fetal brain MRS: Methods Fourteen fetal PRESS datasets were acquired at 3 T at TE = 35 ms and TE = 135 ms. Raw data were processed with eddy‐current phase correction, coil combination, spectral registration, and ...
Andres Saucedo   +2 more
wiley   +1 more source

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