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Multimodal Human–Robot Interaction Using Human Pose Estimation and Local Large Language Models
Advanced Robotics Research, EarlyView.A multimodal human–robot interaction framework integrates human pose estimation (HPE) and a large language model (LLM) for gesture‐ and voice‐based robot control. Speech‐to‐text (STT) enables voice command interpretation, while a safety‐aware arbitration mechanism prioritizes gesture input for rapid intervention.
Nasiru Aboki +2 more
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Absolute Matrix Summability via Almost Increasing Sequence
Quaestiones Mathematicae, 2020 In the present paper, a new theorem concerning absolute matrix summability factors, which generalizes a theorem on the summability factors of infinite series, has been proved by using almost increasing sequence and matrix ...
Bağdagül Kartal +1 more
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Generalized Absolute Matrix Summability of Infinite Series and Fourier Series
Indian Journal of Pure and Applied Mathematics, 2022 In this paper, two general theorems on absolute matrix summability of infinite series and Fourier series are obtained. Also, two known theorems dealing with vertical bar(N) over bar, p(n)vertical bar(k) summability of infinite series and Fourier series ...
Hikmet Seyhan Özarslan
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On absolute riesz and absolute Nörlund summability
Periodica Mathematica Hungarica, 1992A study of the inclusion problem for \(| N,p|\subset| R,\lambda,k|\), \(k>0\), is taken up and a general theorem involving monotone functions \(p\) and \(\lambda\) is given. This theorem thus provides a counterpart of the theorem for the inclusion \(| R,\lambda,1|\subset| N,p|\) as given in [Indian J. Math. 7, 78-81 (1965; Zbl 0141.249); cf. also Rend.
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Absolute Matrix Summability Methods
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hikmet Seyhan Özrssln, T. Ari
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A note on absolute summability factors
Periodica Mathematica Hungarica, 2005We obtain sufficient conditions for the series ]]> ]]> \sum a_{n}\lambda_{n}$ to be absolutely summable of order $k$ by a triangular matrix.
B. E. Rhoades, Ekrem Savas
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ON SOME ABSOLUTE SUMMABILITY METHODS
Analysis, 1987Let \(\Sigma a_ n\) be a given infinite series with sequence of partial sums \(\{s_ n\}\). The series \(\Sigma a_ n\) is said to be summable \(| \bar N,P_ n|_ k,k\geq 1\), if \(\sum^{\infty}_{n=1}(P_ n/p_ n)^{k-1}| t_ n-t_{n-1}|^ k0\), \(P_ n=p_ 0+p_ 1+...+p_ n\to \infty\) and \(t_ n=P_ n^{- 1}\sum^{n}_{\nu =0}p_{\nu}S_{\nu}.\) In the special case when
Bor, H., Thorpe, B.
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Absolute riesz summability factors
Periodica Mathematica Hungarica, 1989The pioneer work of \textit{G. Sunouchi} [Kōdai Math. Seminar Reports 6, 59-62 (1954; Zbl 0057.300)] was generalized by Rath. The authors have extended Rath's result in the Indian J. Pure Appl. Math. 16, 1162-1180 (1985; Zbl 0586.40004)]. The present work is an improvement over author's previous results in the sense that here the result is obtained by ...
Sukla, Indulata, Mohanty, Peari Charan
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A Tauberian theorem for absolute summability
Mathematical Proceedings of the Cambridge Philosophical Society, 1970Let be the given infinite series with {sn} as the sequence of partial sums and let be the binomial coefficient of zn in the power series expansion of the function (l-z)-σ-1 |z| < 1. Now let, for β > – 1,converge for 0 ≤ x < 1. If fβ(x) → s as x → 1–, then we say that ∑an is summable (Aβ) to s.
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