An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces by Congbian MA, Guoxi Zhao

“…In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p<pE<qE<q<∞. …”
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Matrix Transformations and Disk of Convergence in Interpolation Processes by Chikkanna R. Selvaraj, Suguna Selvaraj

“…In 1980, Cavaretta et al. have studied the extension of Lagrange interpolation, Hermite interpolation, and Hermite-Birkhoff interpolation processes in a similar manner. …”
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Solving Delay Differential Equations by an Accurate Method with Interpolation by Ali Akgül, Adem Kiliçman

“…We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. …”
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Solution Interpolation Method for Highly Oscillating Hyperbolic Equations by Pilwon Kim, Chang Hyeong Lee

“…The method is based on the solution interpolation and the underlying idea is to establish a numerical scheme by interpolating numerical data with a parameterized solution of the equation. …”
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Validation of summer temperature interpolation methods in northeastern Iran by hamid salehi, Muhammad motamedi, Ezatollah mafi

Subjects: “…interpolation…”
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Four-Point n-Ary Interpolating Subdivision Schemes by Ghulam Mustafa, Robina Bashir

“…It is observed that 4-point n-ary interpolating schemes generated by completely different frameworks (i.e., Lagrange interpolant and wavelet theory) can also be generated by the proposed algorithm. …”
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TEACHING OF INTERPOLATION AND APPROXIMATION CURVES THROUGH COMPUTER SIMULATION by Norbert Annuš, Ondrej Takáč

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Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data by H. Vosoughi, S. Abbasbandy

“…A numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, has been introduced here. …”
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A Newton Interpolation Approach to Generalized Stirling Numbers by Aimin Xu

“…We make use of the Newton interpolation and divided differences to obtain some basic properties of the generalized Stirling numbers including the recurrence relation, explicit expression, and generating function. …”
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Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms by Kempf, Volker

“…The Brezzi–Douglas–Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L^2$, the other considering parallelotopes with estimates in terms of $L^p$-norms. …”
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Evaluating the Power of GPU Acceleration for IDW Interpolation Algorithm by Gang Mei

“…We first present two GPU implementations of the standard Inverse Distance Weighting (IDW) interpolation algorithm, the tiled version that takes advantage of shared memory and the CDP version that is implemented using CUDA Dynamic Parallelism (CDP). …”
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Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface by Xinru Liu, Yuanpeng Zhu, Shengjun Liu

“…A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. …”
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Energy-Driven Image Interpolation Using Gaussian Process Regression by Lingling Zi, Junping Du

“…Image interpolation, as a method of obtaining a high-resolution image from the corresponding low-resolution image, is a classical problem in image processing. …”
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Dual-driving of data and knowledge to reduce uncertainty in lithofacies interpolation by Mengjiao Dou, Shaohua Li, Lunjie Chang, Kaiyu Wang, Jun Li, Mengying Dai

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The Mask of Odd Points n-Ary Interpolating Subdivision Scheme by Ghulam Mustafa, Jiansong Deng, Pakeeza Ashraf, Najma Abdul Rehman

“…We present an explicit formula for the mask of odd points n-ary, for any odd n⩾3, interpolating subdivision schemes. This formula provides the mask of lower and higher arity schemes. …”
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach by A. Essanhaji, M. Errachid

“…The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. …”
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Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…In this paper, we use interpolation to obtain fixedpoint and common fixed point results for a new type of Kannan contraction mappings in complete metric and b-metric spaces. …”
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Real Interpolation of Small Lebesgue Spaces in a Critical Case by Irshaad Ahmed, Aneesa Hafeez, Ghulam Murtaza

“…We establish an interpolation formula for small Lebesgue spaces in a critical case.…”
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An Adaptive Image Inpainting Method Based on Continued Fractions Interpolation by Lei He, Yan Xing, Kangxiong Xia, Jieqing Tan

“…In order to restore every damaged point, the information of known pixel points around the damaged point was used to interpolate the intensity of the damaged point. The proposed method included two steps; firstly, Thiele’s rational interpolation combined with the mask image was used to interpolate adaptively the intensities of damaged points to get an initial repaired image, and then Newton-Thiele’s rational interpolation was used to refine the initial repaired image to get a final result. …”
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Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation by Van Schaftingen, Jean

“…We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.…”
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