Kohler, Michael; Langer, Sophie; Reif, Ulrich Estimation of a regression function on a manifold by fully connected deep neural networks. (English) Zbl 07594045 J. Stat. Plann. Inference 222, 160-181 (2023). MSC: 62G05 62G20 PDF BibTeX XML Cite \textit{M. Kohler} et al., J. Stat. Plann. Inference 222, 160--181 (2023; Zbl 07594045) Full Text: DOI OpenURL
Li, Fang; Zhu, Xiangyu Convergence rate of solutions to the generalized telegraph equation with an inhomogeneous force. (English) Zbl 07590503 J. Math. Anal. Appl. 517, No. 1, Article ID 126564, 10 p. (2023). MSC: 35Lxx 35Bxx 35Qxx PDF BibTeX XML Cite \textit{F. Li} and \textit{X. Zhu}, J. Math. Anal. Appl. 517, No. 1, Article ID 126564, 10 p. (2023; Zbl 07590503) Full Text: DOI OpenURL
Luo, Xingjun; Jiang, Weijuan; Zhang, Rong Multi-scale collocation method for solving nonstationary Lavrentiev iterative equations. (English) Zbl 07594724 Math. Numer. Sin. 44, No. 2, 257-271 (2022). MSC: 65J20 65J10 PDF BibTeX XML Cite \textit{X. Luo} et al., Math. Numer. Sin. 44, No. 2, 257--271 (2022; Zbl 07594724) Full Text: DOI OpenURL
Xu, Yang; Zhao, Weidong Strong convergence analysis of jump-adapted backward Euler method under non-globally Lipschitz condition. (English) Zbl 07594718 Math. Numer. Sin. 44, No. 2, 163-177 (2022). MSC: 60H10 60H35 65C30 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{W. Zhao}, Math. Numer. Sin. 44, No. 2, 163--177 (2022; Zbl 07594718) Full Text: DOI OpenURL
Sun, Zhengjie; Gao, Wenwu; Yang, Ran A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs. (English) Zbl 07593940 J. Sci. Comput. 93, No. 2, Paper No. 37, 20 p. (2022). MSC: 41A05 41A25 41A30 41A63 PDF BibTeX XML Cite \textit{Z. Sun} et al., J. Sci. Comput. 93, No. 2, Paper No. 37, 20 p. (2022; Zbl 07593940) Full Text: DOI OpenURL
Yıldız, Sevda; Şahin Bayram, Nilay An extension of Korovkin theorem via power series method. (English) Zbl 07593799 Adv. Oper. Theory 7, No. 4, Paper No. 53, 14 p. (2022). MSC: 40A35 40C05 40G10 PDF BibTeX XML Cite \textit{S. Yıldız} and \textit{N. Şahin Bayram}, Adv. Oper. Theory 7, No. 4, Paper No. 53, 14 p. (2022; Zbl 07593799) Full Text: DOI OpenURL
Adell, José A.; Cárdenas-Morales, Daniel Random linear operators arising from piecewise linear interpolation on the unit interval. (English) Zbl 07592514 Mediterr. J. Math. 19, No. 5, Paper No. 223, 18 p. (2022). MSC: 41A25 60E05 PDF BibTeX XML Cite \textit{J. A. Adell} and \textit{D. Cárdenas-Morales}, Mediterr. J. Math. 19, No. 5, Paper No. 223, 18 p. (2022; Zbl 07592514) Full Text: DOI OpenURL
Coroianu, Lucian; Costarelli, Danilo; Kadak, Uğur Quantitative estimates for neural network operators implied by the asymptotic behaviour of the sigmoidal activation functions. (English) Zbl 07592502 Mediterr. J. Math. 19, No. 5, Paper No. 211, 25 p. (2022). MSC: 41A35 41A25 41A20 PDF BibTeX XML Cite \textit{L. Coroianu} et al., Mediterr. J. Math. 19, No. 5, Paper No. 211, 25 p. (2022; Zbl 07592502) Full Text: DOI OpenURL
Papa Quiroz, E. A.; Cruzado, S. An inexact scalarization proximal point method for multiobjective quasiconvex minimization. (English) Zbl 07592283 Ann. Oper. Res. 316, No. 2, 1445-1470 (2022). MSC: 90C26 90C48 65K05 58C20 PDF BibTeX XML Cite \textit{E. A. Papa Quiroz} and \textit{S. Cruzado}, Ann. Oper. Res. 316, No. 2, 1445--1470 (2022; Zbl 07592283) Full Text: DOI OpenURL
Lin, Yizun; Xu, Yuesheng Convergence rate analysis for fixed-point iterations of generalized averaged nonexpansive operators. (English) Zbl 07591739 J. Fixed Point Theory Appl. 24, No. 3, Paper No. 61, 32 p. (2022). MSC: 47J26 47H09 65K05 90C25 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Xu}, J. Fixed Point Theory Appl. 24, No. 3, Paper No. 61, 32 p. (2022; Zbl 07591739) Full Text: DOI OpenURL
Zhang, Gongqiu; Li, Lingfei Analysis of Markov chain approximation for diffusion models with nonsmooth coefficients. (English) Zbl 07591712 SIAM J. Financ. Math. 13, No. 3, 1144-1190 (2022). MSC: 91G20 91G30 60J28 60J60 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{L. Li}, SIAM J. Financ. Math. 13, No. 3, 1144--1190 (2022; Zbl 07591712) Full Text: DOI OpenURL
Bustamante, Jorge Power of Dirichlet kernels and approximation by discrete linear operators. I: direct results. (English) Zbl 07590443 Constr. Math. Anal. 5, No. 2, 105-118 (2022). MSC: 42A10 41A17 41A25 41A27 PDF BibTeX XML Cite \textit{J. Bustamante}, Constr. Math. Anal. 5, No. 2, 105--118 (2022; Zbl 07590443) Full Text: DOI OpenURL
Barulich, Néstor Darío; Deutsch, Aharon; Eisenberger, Moshe; Godoy, Luis Augusto; Dardati, Patricia Mónica A modified Fourier series-based solution with improved rate of convergence for two-dimensional rectangular isotropic linear elastic solids. (English) Zbl 07590431 Math. Mech. Solids 27, No. 3, 410-432 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{N. D. Barulich} et al., Math. Mech. Solids 27, No. 3, 410--432 (2022; Zbl 07590431) Full Text: DOI OpenURL
Khan, Taqseer; Khan, Shuzaat Ali Approximation by Stancu type Lupaş operators. (English) Zbl 07589602 Palest. J. Math. 11, No. 3, 700-707 (2022). MSC: 41A10 41A25 41A36 40A30 PDF BibTeX XML Cite \textit{T. Khan} and \textit{S. A. Khan}, Palest. J. Math. 11, No. 3, 700--707 (2022; Zbl 07589602) Full Text: Link OpenURL
Rao, Nadeem; Malik, Pradeep; Rani, Mamta Blending type approximations by Kantorovich variant of \(\alpha\)-Baskakov operators. (English) Zbl 07589579 Palest. J. Math. 11, No. 3, 402-413 (2022). MSC: 41A10 41A25 41A28 41A35 41A36 PDF BibTeX XML Cite \textit{N. Rao} et al., Palest. J. Math. 11, No. 3, 402--413 (2022; Zbl 07589579) Full Text: Link OpenURL
Padhy, B. P.; Mishra, A.; Nanda, S. Approximation of Fourier series of functions in Besov space by Borel means. (English) Zbl 07588040 J. Indian Math. Soc., New Ser. 89, No. 3-4, 373-385 (2022). MSC: 41A25 42A24 PDF BibTeX XML Cite \textit{B. P. Padhy} et al., J. Indian Math. Soc., New Ser. 89, No. 3--4, 373--385 (2022; Zbl 07588040) Full Text: DOI OpenURL
Hahm, N. W. Degree of multivariate approximation by superposition of a sigmoidal function. (English) Zbl 07587504 J. Anal. Appl. 20, No. 2, 123-134 (2022). MSC: 65D15 41A25 PDF BibTeX XML Cite \textit{N. W. Hahm}, J. Anal. Appl. 20, No. 2, 123--134 (2022; Zbl 07587504) Full Text: Link OpenURL
Khan, Taqseer; Rao, Nadeem; Khan, Shuzaat Ali; Malik, Pradeep On \(\alpha\)-Baskakov-Gamma operators with two shifted nodes. (English) Zbl 07587192 Palest. J. Math. 11, No. 2, 457-468 (2022). MSC: 41A10 41A25 41A28 41A35 41A36 PDF BibTeX XML Cite \textit{T. Khan} et al., Palest. J. Math. 11, No. 2, 457--468 (2022; Zbl 07587192) Full Text: Link OpenURL
Lohaj-Misini, Afërdita; Trupaj, Bashkim; Rexhepi, Shpetim Generalized Szász-Chlodowsky type operators involving \(d\)-orthogonal Brenke polynomials for functions with one and two variables. (English) Zbl 07587157 Palest. J. Math. 11, No. 2, 114-128 (2022). MSC: 41A25 41A28 41A30 41A36 41A63 41A10 PDF BibTeX XML Cite \textit{A. Lohaj-Misini} et al., Palest. J. Math. 11, No. 2, 114--128 (2022; Zbl 07587157) Full Text: Link OpenURL
Demirci, Kamil; Yıldız, Sevda; Çınar, Selin Approximation of matrix-valued functions via statistical convergence with respect to power series methods. (English) Zbl 07586611 J. Anal. 30, No. 3, 1179-1192 (2022). MSC: 40A35 41A36 47A56 65F35 PDF BibTeX XML Cite \textit{K. Demirci} et al., J. Anal. 30, No. 3, 1179--1192 (2022; Zbl 07586611) Full Text: DOI OpenURL
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Argyros, Christopher I. On the convergence of a novel seventh convergence order schemes for solving equations. (English) Zbl 07586596 J. Anal. 30, No. 3, 941-958 (2022). MSC: 65J20 49M15 74G20 41A25 PDF BibTeX XML Cite \textit{S. Regmi} et al., J. Anal. 30, No. 3, 941--958 (2022; Zbl 07586596) Full Text: DOI OpenURL
Benhaddou, Rida Estimation in nonparametric regression model with additive and multiplicative noise via Laguerre series. (English) Zbl 07585045 Commun. Stat., Theory Methods 51, No. 20, 7193-7207 (2022). MSC: 62G05 62G20 62G08 PDF BibTeX XML Cite \textit{R. Benhaddou}, Commun. Stat., Theory Methods 51, No. 20, 7193--7207 (2022; Zbl 07585045) Full Text: DOI OpenURL
Jha, Navnit; Verma, Shikha A high-resolution convergent radial basis functions compact-FDD for boundary layer problems on a scattered mesh network appearing in viscous elastic fluid. (English) Zbl 07584762 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 244, 27 p. (2022). MSC: 41A25 34B16 65D15 PDF BibTeX XML Cite \textit{N. Jha} and \textit{S. Verma}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 244, 27 p. (2022; Zbl 07584762) Full Text: DOI OpenURL
Gupta, Vijay; Aral, Ali; Özsaraç, Firat On semi-exponential Gauss-Weierstrass operators. (English) Zbl 07584626 Anal. Math. Phys. 12, No. 5, Paper No. 111, 16 p. (2022). MSC: 41A25 41A30 PDF BibTeX XML Cite \textit{V. Gupta} et al., Anal. Math. Phys. 12, No. 5, Paper No. 111, 16 p. (2022; Zbl 07584626) Full Text: DOI OpenURL
Kühn, Thomas; Petersen, Martin Approximation in periodic Gevrey spaces. (English) Zbl 07583918 J. Complexity 73, Article ID 101665, 24 p. (2022). MSC: 46E15 41A25 41A63 65D15 65Y20 PDF BibTeX XML Cite \textit{T. Kühn} and \textit{M. Petersen}, J. Complexity 73, Article ID 101665, 24 p. (2022; Zbl 07583918) Full Text: DOI OpenURL
Krieg, David; Novak, Erich; Sonnleitner, Mathias Recovery of Sobolev functions restricted to iid sampling. (English) Zbl 07582812 Math. Comput. 91, No. 338, 2715-2738 (2022). MSC: 65C05 41A25 41A63 65D15 65D30 65Y20 PDF BibTeX XML Cite \textit{D. Krieg} et al., Math. Comput. 91, No. 338, 2715--2738 (2022; Zbl 07582812) Full Text: DOI OpenURL
Zhang, Likun; Shaby, Benjamin A. Uniqueness and global optimality of the maximum likelihood estimator for the generalized extreme value distribution. (English) Zbl 07582656 Biometrika 109, No. 3, 853-864 (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{L. Zhang} and \textit{B. A. Shaby}, Biometrika 109, No. 3, 853--864 (2022; Zbl 07582656) Full Text: DOI OpenURL
Rathan, Samala; Shah, Deepit Construction and comparative study of second order time stepping methods based on IQ and IMQ-RBFs. (English) Zbl 07582621 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 203, 25 p. (2022). MSC: 65-XX 90-XX PDF BibTeX XML Cite \textit{S. Rathan} and \textit{D. Shah}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 203, 25 p. (2022; Zbl 07582621) Full Text: DOI OpenURL
Pattanaik, Pradosh Kumar; Parida, Priyadarsini; Paikray, Susanta Kumar Approximation of Fourier-Laguerre expansion based on a new product deferred summability means. (English) Zbl 07582599 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 181, 10 p. (2022). MSC: 41A25 42B05 42B08 PDF BibTeX XML Cite \textit{P. K. Pattanaik} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 181, 10 p. (2022; Zbl 07582599) Full Text: DOI OpenURL
Yazici, Serdal; Taşdelen Yeşildal, Fatma; Çekim, Bayram On a generalization of Szász-Mirakyan operators including Dunkl-Appell polynomials. (English) Zbl 07581992 Turk. J. Math. 46, No. 6, 2353-2365 (2022). MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{S. Yazici} et al., Turk. J. Math. 46, No. 6, 2353--2365 (2022; Zbl 07581992) Full Text: DOI OpenURL
Yıldız, Sevda Approximation via statistical \(K_a^2\)-convergence on two-dimensional weighted spaces. (English) Zbl 07581601 Rev. Unión Mat. Argent. 63, No. 1, 21-39 (2022). MSC: 40A35 40B05 41A25 41A36 PDF BibTeX XML Cite \textit{S. Yıldız}, Rev. Unión Mat. Argent. 63, No. 1, 21--39 (2022; Zbl 07581601) Full Text: DOI OpenURL
Tran, Loc Hung On the weak laws of large numbers for compound random sums of independent random variables with convergence rates. (English) Zbl 07581287 Bull. Iran. Math. Soc. 48, No. 4, 1967-1989 (2022). MSC: 60F05 60G50 41A25 PDF BibTeX XML Cite \textit{L. H. Tran}, Bull. Iran. Math. Soc. 48, No. 4, 1967--1989 (2022; Zbl 07581287) Full Text: DOI OpenURL
Aslan, İsmail Multivariate approximation in \(\varphi\)-variation for nonlinear integral operators via summability methods. (English) Zbl 07581133 Turk. J. Math. 46, No. 1, 277-298 (2022). MSC: 41-XX 26A45 40A25 41A25 41A35 47G10 PDF BibTeX XML Cite \textit{İ. Aslan}, Turk. J. Math. 46, No. 1, 277--298 (2022; Zbl 07581133) Full Text: DOI OpenURL
Hill, Kaitlin; Zanetell, Jessica; Gemmer, John A. Most probable transition paths in piecewise-smooth stochastic differential equations. (English) Zbl 07579774 Physica D 439, Article ID 133424, 20 p. (2022). MSC: 60-XX 82-XX PDF BibTeX XML Cite \textit{K. Hill} et al., Physica D 439, Article ID 133424, 20 p. (2022; Zbl 07579774) Full Text: DOI OpenURL
Chen, Hengjie; Li, Zhong A note on the applications of one primary function in deep neural networks. (English) Zbl 07579721 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 4, Article ID 2150058, 18 p. (2022). MSC: 41A25 41A30 68T99 82C32 92B20 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Z. Li}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 4, Article ID 2150058, 18 p. (2022; Zbl 07579721) Full Text: DOI OpenURL
Ozkan, Esma Yildiz Approximation by fuzzy \((p,q)\)-Bernstein-Chlodowsky operators. (English) Zbl 07579602 Sahand Commun. Math. Anal. 19, No. 2, 113-132 (2022). MSC: 41A10 41A25 41A60 03B52 PDF BibTeX XML Cite \textit{E. Y. Ozkan}, Sahand Commun. Math. Anal. 19, No. 2, 113--132 (2022; Zbl 07579602) Full Text: DOI OpenURL
Baghani, Omid SCW-iterative-computational method for solving a wide class of nonlinear fractional optimal control problems with Caputo derivatives. (English) Zbl 07578532 Math. Comput. Simul. 202, 540-558 (2022). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{O. Baghani}, Math. Comput. Simul. 202, 540--558 (2022; Zbl 07578532) Full Text: DOI OpenURL
Huang, Shouyou Fast rates of minimum error entropy with heavy-tailed noise. (English) Zbl 07578408 J. Approx. Theory 281-282, Article ID 105796, 21 p. (2022). MSC: 41-XX 42-XX 68T05 68Q32 PDF BibTeX XML Cite \textit{S. Huang}, J. Approx. Theory 281--282, Article ID 105796, 21 p. (2022; Zbl 07578408) Full Text: DOI OpenURL
Gao, Xiangyu; Wang, Jianqiao; Wang, Yanxia; Yang, Hongfu The truncated Euler-Maruyama method for CIR model driven by fractional Brownian motion. (English) Zbl 07578053 Stat. Probab. Lett. 189, Article ID 109573, 12 p. (2022). MSC: 60H35 60H07 60H10 65C30 PDF BibTeX XML Cite \textit{X. Gao} et al., Stat. Probab. Lett. 189, Article ID 109573, 12 p. (2022; Zbl 07578053) Full Text: DOI OpenURL
Hua, Chen-Wei; Chen, Ting-Li On multiple acceleration of reversible Markov chain. (English) Zbl 07578047 Stat. Probab. Lett. 189, Article ID 109559, 8 p. (2022). MSC: 60J10 60J22 65C05 PDF BibTeX XML Cite \textit{C.-W. Hua} and \textit{T.-L. Chen}, Stat. Probab. Lett. 189, Article ID 109559, 8 p. (2022; Zbl 07578047) Full Text: DOI OpenURL
Agrawal, Purshottam Narain; Baxhaku, Behar; Singh, Sompal Approximation degree of bivariate generalized \(\lambda\)-Bernstein-Kantorovich type operators. (English) Zbl 07576511 Numer. Funct. Anal. Optim. 43, No. 12, 1484-1509 (2022). MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., Numer. Funct. Anal. Optim. 43, No. 12, 1484--1509 (2022; Zbl 07576511) Full Text: DOI OpenURL
Xiao, Xiao-Yong New techniques to develop higher order iterative methods for systems of nonlinear equations. (English) Zbl 07575601 Comput. Appl. Math. 41, No. 6, Paper No. 243, 19 p. (2022). MSC: 41A25 65H10 65Y04 PDF BibTeX XML Cite \textit{X.-Y. Xiao}, Comput. Appl. Math. 41, No. 6, Paper No. 243, 19 p. (2022; Zbl 07575601) Full Text: DOI OpenURL
Hušková, Marie; Prášková, Zuzana; Steinebach, Josef G. Estimating a gradual parameter change in an AR(1)-process. (English) Zbl 07575564 Metrika 85, No. 7, 771-808 (2022). MSC: 62F10 62F12 62M10 PDF BibTeX XML Cite \textit{M. Hušková} et al., Metrika 85, No. 7, 771--808 (2022; Zbl 07575564) Full Text: DOI OpenURL
Bustamante, Jorge; de-Jesús, Lázaro Flores Extension of Nörlund and Riesz means: new estimates. (English) Zbl 07574659 Publ. Math. Debr. 101, No. 1-2, 231-257 (2022). MSC: 42A24 41A25 42A10 PDF BibTeX XML Cite \textit{J. Bustamante} and \textit{L. F. de-Jesús}, Publ. Math. Debr. 101, No. 1--2, 231--257 (2022; Zbl 07574659) Full Text: DOI OpenURL
Choi, B. J.; Ji, U. C.; Shin, D. Precise asymptotics of weighted sequences and their applications. (English) Zbl 07574601 Acta Math. Hung. 167, No. 1, 161-179 (2022). MSC: 60F15 46L53 PDF BibTeX XML Cite \textit{B. J. Choi} et al., Acta Math. Hung. 167, No. 1, 161--179 (2022; Zbl 07574601) Full Text: DOI OpenURL
Gao, Shuaibin; Hu, Junhao; He, Jie; Guo, Qian The truncated \(\theta \)-Milstein method for nonautonomous and highly nonlinear stochastic differential delay equations. (English) Zbl 07574201 Appl. Numer. Math. 181, 234-254 (2022). MSC: 60Hxx 65Cxx 34Kxx PDF BibTeX XML Cite \textit{S. Gao} et al., Appl. Numer. Math. 181, 234--254 (2022; Zbl 07574201) Full Text: DOI OpenURL
Wang, Kai; Han, Deren On the linear convergence of the general first order primal-dual algorithm. (English) Zbl 07574140 J. Ind. Manag. Optim. 18, No. 5, 3749-3770 (2022). MSC: 90C47 90C33 65K05 PDF BibTeX XML Cite \textit{K. Wang} and \textit{D. Han}, J. Ind. Manag. Optim. 18, No. 5, 3749--3770 (2022; Zbl 07574140) Full Text: DOI OpenURL
Aujol, J.-F.; Dossal, Ch.; Rondepierre, A. Convergence rates of the heavy ball method for quasi-strongly convex optimization. (English) Zbl 07573359 SIAM J. Optim. 32, No. 3, 1817-1842 (2022). MSC: 65K10 90C25 90C30 PDF BibTeX XML Cite \textit{J. F. Aujol} et al., SIAM J. Optim. 32, No. 3, 1817--1842 (2022; Zbl 07573359) Full Text: DOI OpenURL
Cohen, David; Lang, Annika Numerical approximation and simulation of the stochastic wave equation on the sphere. (English) Zbl 07570540 Calcolo 59, No. 3, Paper No. 32, 32 p. (2022). MSC: 65C30 35R60 33C55 41A25 60H15 60H35 60G60 60G15 PDF BibTeX XML Cite \textit{D. Cohen} and \textit{A. Lang}, Calcolo 59, No. 3, Paper No. 32, 32 p. (2022; Zbl 07570540) Full Text: DOI OpenURL
Gu, Yiqi; Ng, Michael K. Deep Ritz method for the spectral fractional Laplacian equation using the Caffarelli-Silvestre extension. (English) Zbl 07569626 SIAM J. Sci. Comput. 44, No. 4, A2018-A2036 (2022). MSC: 65N30 65N15 65C05 68T07 41A25 PDF BibTeX XML Cite \textit{Y. Gu} and \textit{M. K. Ng}, SIAM J. Sci. Comput. 44, No. 4, A2018--A2036 (2022; Zbl 07569626) Full Text: DOI OpenURL
Khan, Asif; Iliyas, Mohammad; Khan, Khalid; Mursaleen, Mohammad Approximation of conic sections by weighted Lupaş post-quantum Bézier curves. (English) Zbl 07569546 Demonstr. Math. 55, 328-342 (2022). MSC: 65D17 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{A. Khan} et al., Demonstr. Math. 55, 328--342 (2022; Zbl 07569546) Full Text: DOI OpenURL
Qu, Xin; Bian, Wei Fast inertial dynamic algorithm with smoothing method for nonsmooth convex optimization. (English) Zbl 07569398 Comput. Optim. Appl. 83, No. 1, 287-317 (2022). MSC: 90C25 90C30 65K05 37N40 PDF BibTeX XML Cite \textit{X. Qu} and \textit{W. Bian}, Comput. Optim. Appl. 83, No. 1, 287--317 (2022; Zbl 07569398) Full Text: DOI OpenURL
Eisenmann, Monika; Stillfjord, Tony; Williamson, Måns Sub-linear convergence of a stochastic proximal iteration method in Hilbert space. (English) Zbl 07569395 Comput. Optim. Appl. 83, No. 1, 181-210 (2022). MSC: 90C48 46N10 65K10 90C15 PDF BibTeX XML Cite \textit{M. Eisenmann} et al., Comput. Optim. Appl. 83, No. 1, 181--210 (2022; Zbl 07569395) Full Text: DOI OpenURL
Wu, Hau-Tieng; Wu, Nan Strong uniform consistency with rates for kernel density estimators with general kernels on manifolds. (English) Zbl 07569168 Inf. Inference 11, No. 2, 781-799 (2022). MSC: 62G07 60F15 PDF BibTeX XML Cite \textit{H.-T. Wu} and \textit{N. Wu}, Inf. Inference 11, No. 2, 781--799 (2022; Zbl 07569168) Full Text: DOI arXiv OpenURL
Sun, Hongpeng An investigation on semismooth Newton based augmented Lagrangian method for image restoration. (English) Zbl 07568886 J. Sci. Comput. 92, No. 3, Paper No. 82, 37 p. (2022). MSC: 65K10 49J52 49M15 94A08 PDF BibTeX XML Cite \textit{H. Sun}, J. Sci. Comput. 92, No. 3, Paper No. 82, 37 p. (2022; Zbl 07568886) Full Text: DOI OpenURL
Guo, Yu-ling; Wang, Zhong-qing A two-grid spectral deferred correction method for the multi-order fractional differential equations. (English) Zbl 07568882 J. Sci. Comput. 92, No. 3, Paper No. 78, 18 p. (2022). MSC: 65Lxx 34A08 34A12 41A25 PDF BibTeX XML Cite \textit{Y.-l. Guo} and \textit{Z.-q. Wang}, J. Sci. Comput. 92, No. 3, Paper No. 78, 18 p. (2022; Zbl 07568882) Full Text: DOI OpenURL
Yu, Peiran; Li, Guoyin; Pong, Ting Kei Kurdyka-Łojasiewicz exponent via inf-projection. (English) Zbl 07568625 Found. Comput. Math. 22, No. 4, 1171-1217 (2022). MSC: 90C06 90C22 90C25 90C26 PDF BibTeX XML Cite \textit{P. Yu} et al., Found. Comput. Math. 22, No. 4, 1171--1217 (2022; Zbl 07568625) Full Text: DOI OpenURL
Patel, Prashantkumar; Rathour, Laxmi The rate of approximation of functions in an infinite interval by positive linear operators. (English) Zbl 07568522 Georgian Math. J. 29, No. 4, 575-581 (2022). MSC: 41A35 41A25 41A30 41A36 PDF BibTeX XML Cite \textit{P. Patel} and \textit{L. Rathour}, Georgian Math. J. 29, No. 4, 575--581 (2022; Zbl 07568522) Full Text: DOI OpenURL
Wang, Wenhui; Yan, Wenjing; Yang, Di A cell-centered finite volume scheme for the diffusive-viscous wave equation on general polygonal meshes. (English) Zbl 07567953 Appl. Math. Lett. 133, Article ID 108274, 8 p. (2022). MSC: 74S10 74J10 74L05 74F10 86A60 PDF BibTeX XML Cite \textit{W. Wang} et al., Appl. Math. Lett. 133, Article ID 108274, 8 p. (2022; Zbl 07567953) Full Text: DOI OpenURL
Shehu, Yekini; Dong, Qiao-Li; Liu, Lu-Lu Fast alternated inertial projection algorithms for pseudo-monotone variational inequalities. (English) Zbl 07567546 J. Comput. Appl. Math. 415, Article ID 114517, 16 p. (2022). MSC: 47H05 47J20 47J25 65K15 90C25 PDF BibTeX XML Cite \textit{Y. Shehu} et al., J. Comput. Appl. Math. 415, Article ID 114517, 16 p. (2022; Zbl 07567546) Full Text: DOI OpenURL
Dong, Lixiu; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. (English) Zbl 07567535 J. Comput. Appl. Math. 415, Article ID 114474, 18 p. (2022). MSC: 65-XX 35K35 65M06 65M12 PDF BibTeX XML Cite \textit{L. Dong} et al., J. Comput. Appl. Math. 415, Article ID 114474, 18 p. (2022; Zbl 07567535) Full Text: DOI OpenURL
Kisi, Omer Lacunary statistical convergence for sequence of sets in intuitionistic fuzzy metric space. (English) Zbl 07567428 J. Appl. Math. Inform. 40, No. 1-2, 69-83 (2022). MSC: 11B39 41A10 41A25 41A36 40A30 40G15 PDF BibTeX XML Cite \textit{O. Kisi}, J. Appl. Math. Inform. 40, No. 1--2, 69--83 (2022; Zbl 07567428) Full Text: DOI OpenURL
Chen, Xuwen; Holmer, Justin Quantitative derivation and scattering of the 3D cubic NLS in the energy space. (English) Zbl 07567410 Ann. PDE 8, No. 2, Paper No. 11, 39 p. (2022). MSC: 35P25 35A23 35B45 35Q55 81V70 81Q05 PDF BibTeX XML Cite \textit{X. Chen} and \textit{J. Holmer}, Ann. PDE 8, No. 2, Paper No. 11, 39 p. (2022; Zbl 07567410) Full Text: DOI OpenURL
Kang, Hongmei; Hu, Wenkai; Yong, Zhiguo; Li, Xin Isogeometric analysis based on modified Loop subdivision surface with improved convergence rates. (English) Zbl 07566998 Comput. Methods Appl. Mech. Eng. 398, Article ID 115258, 25 p. (2022). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{H. Kang} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115258, 25 p. (2022; Zbl 07566998) Full Text: DOI OpenURL
Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. Generalized Popoviciu expansions for Bernstein polynomials of a rational module. (English. Russian original) Zbl 07566748 J. Math. Sci., New York 263, No. 4, 532-578 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 71-117 (2019). MSC: 41A10 41A25 30C15 30E10 PDF BibTeX XML Cite \textit{I. V. Tikhonov} et al., J. Math. Sci., New York 263, No. 4, 532--578 (2022; Zbl 07566748); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 71--117 (2019) Full Text: DOI OpenURL
Lin, Hong-wei; Xiong, Yun-yang; Hu, Hui; Yan, Jia-cong; Hu, Qian-qian The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method. (English) Zbl 07566336 Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 272-289 (2022). MSC: 65N12 65N35 PDF BibTeX XML Cite \textit{H.-w. Lin} et al., Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 272--289 (2022; Zbl 07566336) Full Text: DOI OpenURL
Mursaleen, M.; Ahasan, Mohd.; Khan, Asif Modified approximation and error estimation for King’s type \((p, q)\)-BBH operators. (English) Zbl 07566331 Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 199-212 (2022). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 199--212 (2022; Zbl 07566331) Full Text: DOI OpenURL
Johnston, Samuel; Prochno, Joscha Berry-Esseen bounds for random projections of \(\ell_p^n\)-balls. (English) Zbl 07566103 Stud. Math. 266, No. 3, 291-322 (2022). MSC: 60F05 41A25 PDF BibTeX XML Cite \textit{S. Johnston} and \textit{J. Prochno}, Stud. Math. 266, No. 3, 291--322 (2022; Zbl 07566103) Full Text: DOI OpenURL
Lian, Bo-Yong; Cai, Qing-Bo Construction of the Kantorovich variant of the Bernstein-Chlodovsky operators based on parameter \(\alpha\). (English) Zbl 07565753 J. Math. Inequal. 16, No. 2, 797-810 (2022). MSC: 41A36 41A25 41A10 PDF BibTeX XML Cite \textit{B.-Y. Lian} and \textit{Q.-B. Cai}, J. Math. Inequal. 16, No. 2, 797--810 (2022; Zbl 07565753) Full Text: DOI OpenURL
Aktuğlu, Hüseyin; Gezer, Halil; Baytunç, Erdem; Atamert, Mehmet Salih Approximation properties of generalized blending type Lototsky-Bernstein operators. (English) Zbl 07565748 J. Math. Inequal. 16, No. 2, 707-728 (2022). MSC: 41A10 41A25 41A36 41A60 PDF BibTeX XML Cite \textit{H. Aktuğlu} et al., J. Math. Inequal. 16, No. 2, 707--728 (2022; Zbl 07565748) Full Text: DOI OpenURL
Aral, Nazlım Deniz; Sevinç, Zeynep On the \(q\)-analogues for some Kantorovich type linear operators. (English) Zbl 07565739 J. Math. Inequal. 16, No. 2, 575-586 (2022). MSC: 47B38 47B65 PDF BibTeX XML Cite \textit{N. D. Aral} and \textit{Z. Sevinç}, J. Math. Inequal. 16, No. 2, 575--586 (2022; Zbl 07565739) Full Text: DOI OpenURL
Özkan, Esma Yıldız Inequalities and numerical results of approximation for bivariate \(q\)-Baskakov-Durrmeyer type operators including \(q\)-improper integral. (English) Zbl 07565734 J. Math. Inequal. 16, No. 2, 499-512 (2022). MSC: 41A25 41A36 PDF BibTeX XML Cite \textit{E. Y. Özkan}, J. Math. Inequal. 16, No. 2, 499--512 (2022; Zbl 07565734) Full Text: DOI OpenURL
Aslan, Reşat; Mursaleen, Mohammad Some approximation results on a class of new type \(\lambda\)-Bernstein polynomials. (English) Zbl 07565730 J. Math. Inequal. 16, No. 2, 445-462 (2022). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{R. Aslan} and \textit{M. Mursaleen}, J. Math. Inequal. 16, No. 2, 445--462 (2022; Zbl 07565730) Full Text: DOI OpenURL
Obad, Alaa Mohammed; Khan, Khalid; Lobiyal, D. K.; Khan, Asif Algorithms and identities for Bézier curves via post-quantum blossom. (English) Zbl 07565715 Jordan J. Math. Stat. 15, No. 2, 177-197 (2022). MSC: 65D17 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{A. M. Obad} et al., Jordan J. Math. Stat. 15, No. 2, 177--197 (2022; Zbl 07565715) Full Text: DOI OpenURL
Seidel, Tobias; Küfer, Karl-Heinz An adaptive discretization method solving semi-infinite optimization problems with quadratic rate of convergence. (English) Zbl 07565457 Optimization 71, No. 8, 2211-2239 (2022). MSC: 90C34 41A25 90C31 90C30 PDF BibTeX XML Cite \textit{T. Seidel} and \textit{K.-H. Küfer}, Optimization 71, No. 8, 2211--2239 (2022; Zbl 07565457) Full Text: DOI arXiv OpenURL
He, Xin; Hu, Rong; Fang, Ya-Ping Inertial accelerated primal-dual methods for linear equality constrained convex optimization problems. (English) Zbl 07565430 Numer. Algorithms 90, No. 4, 1669-1690 (2022). MSC: 90C25 90C06 68W40 49M27 PDF BibTeX XML Cite \textit{X. He} et al., Numer. Algorithms 90, No. 4, 1669--1690 (2022; Zbl 07565430) Full Text: DOI OpenURL
Eisenmann, Monika; Stillfjord, Tony Sublinear convergence of a tamed stochastic gradient descent method in Hilbert space. (English) Zbl 07565255 SIAM J. Optim. 32, No. 3, 1642-1667 (2022). MSC: 65K10 90C15 46N10 PDF BibTeX XML Cite \textit{M. Eisenmann} and \textit{T. Stillfjord}, SIAM J. Optim. 32, No. 3, 1642--1667 (2022; Zbl 07565255) Full Text: DOI OpenURL
Qasim, Mohd; Mursaleen, M.; Abbas, Zaheer; Khan, Asif Approximation by generalized Szász-Mirakjan-Kantorovich type operators. (English) Zbl 07565059 Publ. Inst. Math., Nouv. Sér. 111(125), 89-99 (2022). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{M. Qasim} et al., Publ. Inst. Math., Nouv. Sér. 111(125), 89--99 (2022; Zbl 07565059) Full Text: DOI OpenURL
Garg, Sangeeta Approximation for Gupta type general operators based on Miheşan basis functions. (English) Zbl 07565058 Publ. Inst. Math., Nouv. Sér. 111(125), 77-87 (2022). MSC: 41A30 41A36 PDF BibTeX XML Cite \textit{S. Garg}, Publ. Inst. Math., Nouv. Sér. 111(125), 77--87 (2022; Zbl 07565058) Full Text: DOI OpenURL
Jiang, Yu Hang; Liu, Tong; Lou, Zhiya; Rosenthal, Jeffrey S.; Shangguan, Shanshan; Wang, Fei; Wu, Zixuan Convergence rates of attractive-repulsive MCMC algorithms. (English) Zbl 1491.60122 Methodol. Comput. Appl. Probab. 24, No. 3, 2029-2054 (2022). MSC: 60J10 60J22 65C05 PDF BibTeX XML Cite \textit{Y. H. Jiang} et al., Methodol. Comput. Appl. Probab. 24, No. 3, 2029--2054 (2022; Zbl 1491.60122) Full Text: DOI arXiv OpenURL
Maingé, Paul-Emile Fast convergence of generalized forward-backward algorithms for structured monotone inclusions. (English) Zbl 07564733 J. Convex Anal. 29, No. 3, 893-920 (2022). MSC: 90C25 90C30 90C60 68Q25 49M25 PDF BibTeX XML Cite \textit{P.-E. Maingé}, J. Convex Anal. 29, No. 3, 893--920 (2022; Zbl 07564733) Full Text: Link OpenURL
Ouyang, Hui Finite convergence of locally proper circumcentered methods. (English) Zbl 07564732 J. Convex Anal. 29, No. 3, 857-892 (2022). MSC: 41A50 90C25 41A25 47H09 47H04 46B04 PDF BibTeX XML Cite \textit{H. Ouyang}, J. Convex Anal. 29, No. 3, 857--892 (2022; Zbl 07564732) Full Text: Link OpenURL
Alagoz, Osman; Turgay, Metin; Acar, Tuncer; Parlak, Merve Approximation by sampling Durrmeyer operators in weighted space of functions. (English) Zbl 07563825 Numer. Funct. Anal. Optim. 43, No. 10, 1223-1239 (2022). MSC: 41A25 41A05 PDF BibTeX XML Cite \textit{O. Alagoz} et al., Numer. Funct. Anal. Optim. 43, No. 10, 1223--1239 (2022; Zbl 07563825) Full Text: DOI OpenURL
Peng, Jianwen; Zhang, Xueqing Linear convergence rate of the generalized alternating direction method of multipliers for a class of convex minimization problems. (English) Zbl 1491.90122 J. Nonlinear Convex Anal. 23, No. 8, 1559-1575 (2022). MSC: 90C25 90C31 49K40 PDF BibTeX XML Cite \textit{J. Peng} and \textit{X. Zhang}, J. Nonlinear Convex Anal. 23, No. 8, 1559--1575 (2022; Zbl 1491.90122) Full Text: Link OpenURL
Li, Min; Huang, Chengming; Hu, Yaozhong Numerical methods for stochastic Volterra integral equations with weakly singular kernels. (English) Zbl 07563205 IMA J. Numer. Anal. 42, No. 3, 2656-2683 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{M. Li} et al., IMA J. Numer. Anal. 42, No. 3, 2656--2683 (2022; Zbl 07563205) Full Text: DOI arXiv OpenURL
Ding, Saisai; Fang, Hongyan; Dong, Xiang; Yang, Wenzhi The CUSUM statistics of change-point models based on dependent sequences. (English) Zbl 07563014 J. Appl. Stat. 49, No. 10, 2593-2611 (2022). MSC: 62Pxx 62F12 PDF BibTeX XML Cite \textit{S. Ding} et al., J. Appl. Stat. 49, No. 10, 2593--2611 (2022; Zbl 07563014) Full Text: DOI OpenURL
Xu, Hai-yang; Lan, Heng-you; Zhang, Fan General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality. (English) Zbl 07562933 Comput. Appl. Math. 41, No. 4, Paper No. 190, 18 p. (2022). MSC: 47H09 47J26 41A25 PDF BibTeX XML Cite \textit{H.-y. Xu} et al., Comput. Appl. Math. 41, No. 4, Paper No. 190, 18 p. (2022; Zbl 07562933) Full Text: DOI OpenURL
Thong, Duong Viet; Li, Xiaoxiao; Dong, Qiao-Li; Van, Nguyen Thi Cam; Thang, Hoang Van Revisiting the extragradient method for finding the minimum-norm solution of non-Lipschitzian pseudo-monotone variational inequalities. (English) Zbl 07562929 Comput. Appl. Math. 41, No. 4, Paper No. 186, 22 p. (2022). MSC: 65Y05 65K15 68W10 47H09 47J25 PDF BibTeX XML Cite \textit{D. V. Thong} et al., Comput. Appl. Math. 41, No. 4, Paper No. 186, 22 p. (2022; Zbl 07562929) Full Text: DOI OpenURL
Ansari, Khursheed J.; Özger, Faruk; Ödemiş Özger, Zeynep Numerical and theoretical approximation results for schurer-Stancu operators with shape parameter \(\lambda\). (English) Zbl 07562924 Comput. Appl. Math. 41, No. 4, Paper No. 181, 18 p. (2022). MSC: 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{K. J. Ansari} et al., Comput. Appl. Math. 41, No. 4, Paper No. 181, 18 p. (2022; Zbl 07562924) Full Text: DOI OpenURL
Bahadur, Swarnima; Varun Convergence of Lagrange interpolation on the non uniform nodes on the unit circle. (English) Zbl 07562895 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 2, 101-111 (2022). MSC: 41A10 41A05 30E10 PDF BibTeX XML Cite \textit{S. Bahadur} and \textit{Varun}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 2, 101--111 (2022; Zbl 07562895) Full Text: DOI OpenURL
Derazgisoo, S. M.; Akbarzadeh, P.; Lehdarboni, A. Askari Accelerate the convergence of turbulent flows simulation: a novel progressive locally power-law preconditioning method. (English) Zbl 07562530 Comput. Fluids 241, Article ID 105483, 29 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{S. M. Derazgisoo} et al., Comput. Fluids 241, Article ID 105483, 29 p. (2022; Zbl 07562530) Full Text: DOI OpenURL
Özkan, Esma Yıldız Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant. (English) Zbl 07562144 J. Inequal. Appl. 2022, Paper No. 66, 20 p. (2022). MSC: 41A25 41A30 41A35 41A36 PDF BibTeX XML Cite \textit{E. Y. Özkan}, J. Inequal. Appl. 2022, Paper No. 66, 20 p. (2022; Zbl 07562144) Full Text: DOI OpenURL
Jiang, Yingying; Li, Baokun Extremal properties of the beta-normal distribution. (English) Zbl 07562119 J. Inequal. Appl. 2022, Paper No. 41, 14 p. (2022). MSC: 62Exx 60Fxx 62Gxx PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{B. Li}, J. Inequal. Appl. 2022, Paper No. 41, 14 p. (2022; Zbl 07562119) Full Text: DOI OpenURL
Vijesh, V. Antony; Vatsala, A. S. An accelerated technique for the coupled system of reaction-diffusion-transport equations arising from catalytic converters. (English) Zbl 07562073 J. Math. Anal. Appl. 515, No. 2, Article ID 126365, 39 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80A32 80M20 65M06 65N06 65M12 65M15 65R20 35B44 35K57 35R09 45K05 PDF BibTeX XML Cite \textit{V. A. Vijesh} and \textit{A. S. Vatsala}, J. Math. Anal. Appl. 515, No. 2, Article ID 126365, 39 p. (2022; Zbl 07562073) Full Text: DOI OpenURL
Banerjee, Sayantan Horseshoe shrinkage methods for Bayesian fusion estimation. (English) Zbl 07561877 Comput. Stat. Data Anal. 174, Article ID 107450, 25 p. (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{S. Banerjee}, Comput. Stat. Data Anal. 174, Article ID 107450, 25 p. (2022; Zbl 07561877) Full Text: DOI arXiv OpenURL
Zhang, Rong; Yang, Hongqi A discretizing Levenberg-Marquardt scheme for solving nonlinear ill-posed integral equations. (English) Zbl 07560292 J. Comput. Math. 40, No. 5, 690-714 (2022). MSC: 65J15 65J20 65J22 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{H. Yang}, J. Comput. Math. 40, No. 5, 690--714 (2022; Zbl 07560292) Full Text: DOI OpenURL
Jafarov, Sadulla Z. On approximation of functions by rational functions in weighted generalized grand Smirnov classes. (English) Zbl 07560266 Arab. J. Math. 11, No. 2, 293-302 (2022). MSC: 30E10 41A10 41A25 46E30 PDF BibTeX XML Cite \textit{S. Z. Jafarov}, Arab. J. Math. 11, No. 2, 293--302 (2022; Zbl 07560266) Full Text: DOI OpenURL
Agrawal, P. N.; Bhardwaj, Neha; Bawa, Parveen Bézier variant of modified \(\alpha\)-Bernstein operators. (English) Zbl 07560203 Rend. Circ. Mat. Palermo (2) 71, No. 2, 807-827 (2022). MSC: 41A10 41A25 41A30 41A63 26A15 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., Rend. Circ. Mat. Palermo (2) 71, No. 2, 807--827 (2022; Zbl 07560203) Full Text: DOI OpenURL
Bustamante, Jorge Linear combinations of Rogosinski operators. (English) Zbl 07560196 Rend. Circ. Mat. Palermo (2) 71, No. 2, 697-706 (2022). MSC: 42A10 42A24 41A25 PDF BibTeX XML Cite \textit{J. Bustamante}, Rend. Circ. Mat. Palermo (2) 71, No. 2, 697--706 (2022; Zbl 07560196) Full Text: DOI OpenURL
Dung, Nguyen Tien Rates of convergence in the central limit theorem for nonlinear statistics under relaxed moment conditions. (English) Zbl 07560151 Acta Math. Vietnam. 47, No. 3, 635-660 (2022). MSC: 62E17 60F05 PDF BibTeX XML Cite \textit{N. T. Dung}, Acta Math. Vietnam. 47, No. 3, 635--660 (2022; Zbl 07560151) Full Text: DOI OpenURL