Results 61 to 70 of about 839,511 (260)
Shape-preserving properties of a new family of generalized Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called (α,q) $(\alpha,q)$-Bernstein operators, denoted by Tn,q,α(f) $T_{n,q,\alpha}(f)$. We investigate a Kovovkin-type approximation theorem, and obtain the
Qing-Bo Cai, Xiao-Wei Xu
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On Evaluation of the Dirichlet Series at Positive Integers by q-Calculation
, 1994 By q-calculation, we prove some recursion formulas for the values of Riemann ζ-function ζ(s) at positive even integers, and also prove some series representation for the values of ζ(s) at positive odd integers.
Tsumura, H.
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Impedance‐Matched High‐Overtone Thickness‐Shear Bulk Acoustic Resonators With Scalable Mode Volume
Advanced Science, EarlyView.A bottom‐electrode‐free high‐overtone bulk acoustic resonator is achieved by lateral excitation of antisymmetric thickness‐shear modes on a lithium‐niobate‐on‐silicon platform. Planar electrode geometry eliminates conventional loading along the resonance path and confines acoustic energy within the electrode gap.
Zi‐Dong Zhang +7 more
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q-Analogue of a binomial coefficient congruence
International Journal of Mathematics and Mathematical Sciences, 1995 We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
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Approximation properties of real and complex post-Widder operators based on q-integers [PDF]
, 2012 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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Advanced Science, EarlyView.To overcome two‐dimensional modulation bottlenecks, Hadamard Matrix Slicing Single‐Pixel Imaging (HMS‐SPI) establishes an efficient one‐dimensional imaging paradigm. By slicing the traditional Hadamard matrix into one‐dimensional encoding vectors and spatially expanding them, the required measurement patterns decrease by a factor of N.
Xiaoxue Li +8 more
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Imaging Electric Polarization Switching in Multilayer Graphene
Advanced Science, EarlyView.Domain wall sliding‐induced electric polarization switching is directly observed for the first time in multilayer graphene, enabled by a novel optical readout method. The polarization switching is realized upon application of global and local electric fields, and mechanical forces between neighboring polar domains of opposite out‐of‐plane polarizations
Zhou Zhou +10 more
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A new class of infinite products, and Euler's totient
International Journal of Mathematics and Mathematical Sciences, 1994 We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
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Photonic‐Enabled Energy‐Efficient Transparent Neuromorphic Computing Devices: A Review
Advanced Science, EarlyView.Transparent photonic neuromorphic computing devices merge optics and brain‐inspired computing to overcome von Neumann bottlenecks with ultrafast, low‐energy processing. By exploiting transparent oxides, 2D materials, phase‐change materials, and hybrid heterostructures, these platforms enable photonic synapses, memory, and logic for see‐through edge ...
Shuvaraj Ghosh +8 more
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New Construction Weighted (h,q)-Genocchi Numbers and Polynomials Related to Zeta Type Functions
Discrete Dynamics in Nature and Society, 2011 The fundamental aim of this paper is to construct (h,q)-Genocchi numbers and polynomials with weight α. We shall obtain some interesting relations by using p-adic q-integral on Zp in the sense of fermionic.
Serkan Araci, Jong Jin Seo, Dilek Erdal
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