Sums of powers of consecutive q-integers
We give the q-analogue of the sums of the n-th powers of positive integers up to k-1.
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A new type Bernstein polynomials depend on (p, q)-integers
The aim of this paper is to give a new type Bernstein polynomials which are different from the (p, q)-Bernstein polynomials of Mursaleen et.al.[6] based on (p, q)-integers. Also, we derived some properties and results such as generating function, symmetry property and recurrence relations.The aim of this paper is to give a new type Bernstein ...
Agyuz, Erkan, Acikgoz, Mehmet
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Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
On Interpolation Functions of the Generalized Twisted (h,q)-Euler Polynomials
The aim of this paper is to construct p-adic twisted two-variable Euler-(h,q)-L-functions, which interpolate generalized twisted (h,q)-Euler polynomials at negative integers.
Kyoung Ho Park
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Approximation properties of real and complex post-Widder operators based on q-integers [PDF]
In this paper, we study the statistical approximation properties of real and complex Post-Widder operators based on q-integers.
Duman, Oktay +2 more
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The rate of pointwise approximation of positive linear operators based on q-integer [PDF]
Using the \(q\)-calculus the authors obtain new results for a sequence of positive linear operators, for example some estimates for the rate of convergence of \(q\)-Bernstein-Stancu polynomials.
Gupta Vijay, Nowak, G.
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Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan +8 more
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ML Workflows for Screening Degradation‐Relevant Properties of Forever Chemicals
The environmental persistence of per‐ and polyfluoroalkyl substances (PFAS) necessitates efficient remediation strategies. This study presents physics‐informed machine learning workflows that accurately predict critical degradation properties, including bond dissociation energies and polarizability.
Pranoy Ray +3 more
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Rate of convergence of Szász-beta operators based on q-integers
AbstractThe purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.
Gupta Pooja, Agrawal Purshottam Narain
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Diverse Landscape of Tunable Magnetic, Topological, and Ferroelectric States in 2D Ti3Se3Te2
Ti3Se3Te2 emerges as a multifunctional 2D van der Waals platform. The monolayer is a dynamically stable ferromagnetic quantum anomalous Hall insulator. In bilayers, two stacking configurations yield distinct phases: AA‐stacking hosts an altermagnetic quantum spin Hall insulator, while AA′‐stacking exhibits three‐state in‐plane ferroelectricity ...
Jiangtao Yu +5 more
wiley +1 more source

