Edit Profile (opens in new tab) Tachev, Gancho T. Co-Author Distance Author ID: tachev.gancho-t Published as: Tachev, Gancho; Tachev, Gancho T.; Tachev, G. T.; Tachev, G.; Tachev, Ganchov T. more...less Homepage: http://uacg.bg/?p=109&id=361&l=2 Documents Indexed: 66 Publications since 1989, including 1 Book Co-Authors: 13 Co-Authors with 28 Joint Publications 392 Co-Co-Authors all top 5 Co-Authors 38 single-authored 12 Gonska, Heinz Herbert 12 Gupta, Vijay 4 Kacsó, Daniela P. 3 Aral, Ali 3 Beutel, Laura Magdalena 2 Acu, Ana Maria 2 Gavrea, Ioan 2 Heilmann, Margareta 2 Prestin, Jurgen 1 Gal, Sorin Gheorghe 1 Păltănea, Radu 1 Soybaş, Danyal 1 Zhou, Dingxuan all top 5 Serials 5 Results in Mathematics 4 Godishnik na Visshiya Institut po Arkhitektura i Stroitelstvo Sofiya. Svitk II. Matematika 3 Journal of Mathematical Analysis and Applications 3 Mathematica Balkanica. New Series 3 Mediterranean Journal of Mathematics 2 Numerical Functional Analysis and Optimization 2 Numerical Algorithms 2 Studia Universitatis Babeș-Bolyai. Mathematica 2 East Journal on Approximations 2 Godishnik na Universiteta po Arkhitektura, Stroitelstvo i Geodeziya Sofiya. Svitk II. Matematika, Mekhanika 2 Journal of Classical Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Calcolo 1 Demonstratio Mathematica 1 Journal of Approximation Theory 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Approximation Theory and its Applications 1 Applied Mathematics Letters 1 Serdica 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 General Mathematics 1 Georgian Mathematical Journal 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Inequalities & Applications 1 Journal of Computational Analysis and Applications 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Kragujevac Journal of Mathematics 1 Journal of Concrete and Applicable Mathematics 1 International Journal of Applied Mathematics and Statistics 1 Journal of Applied Functional Analysis 1 Developments in Mathematics 1 Theory and Applications of Mathematics & Computer Science 1 Constructive Mathematical Analysis Fields 65 Approximations and expansions (41-XX) 10 Numerical analysis (65-XX) 2 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 265 times in 182 Documents Cited by ▼ Year ▼ Approximation with positive linear operators and linear combinations. Zbl 1371.41035Gupta, Vijay; Tachev, Gancho 45 2017 The complete asymptotic expansion for Bernstein operators. Zbl 1232.41016Tachev, Gancho T. 23 2012 Grüss-type inequalities for positive linear operators with second order moduli. Zbl 1289.41036Gonska, Heiner; Tachev, Gancho 21 2011 On approximation properties of Phillips operators preserving exponential functions. Zbl 1375.41015Gupta, Vijay; Tachev, Gancho 15 2017 Commutativity, direct and strong converse results for Philipps operators. Zbl 1269.41005Heilmann, Margareta; Tachev, Gancho 13 2011 Modified Kantorovich operators with better approximation properties. Zbl 1508.41005Gupta, Vijay; Tachev, Gancho; Acu, Ana-Maria 13 2019 General form of Voronovskaja’s theorem in terms of weighted modulus of continuity. Zbl 1339.41032Gupta, Vijay; Tachev, Gancho 11 2016 On variation-diminishing Schoenberg operators: new quantitative statements. Zbl 1113.41014Beutel, Laura; Gonska, Heiner; Kacsó, Daniela; Tachev, Gancho 10 2002 Voronovskaja’s theorem revisited. Zbl 1140.41002Tachev, Gancho T. 10 2008 A note on the differences of two positive linear operators. Zbl 1463.41026Gupta, Vijay; Tachev, Gancho 8 2019 General estimates for the Ditzian-Totik modulus. Zbl 1111.41004Gavrea, Ioan; Gonska, Heiner; Păltănea, Radu; Tachev, Gancho 7 2003 Pointwise approximation by Bernstein polynomials. Zbl 1251.41002Tachev, Gancho 6 2012 Variation-diminishing splines revisited. Zbl 1071.41010Beutel, L.; Gonska, H.; Kacsó, D.; Tachev, G. 6 2002 New estimates in Voronovskaja’s theorem. Zbl 1251.41006Tachev, Gancho 5 2012 Quantitative Voronovskaya-type results for polynomially bounded functions. Zbl 1351.41011Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, Gancho 5 2016 Voronovskaja’s theorem for functions with exponential growth. Zbl 1452.41011Tachev, Gancho; Gupta, Vijay; Aral, Ali 5 2020 Better numerical approximation by Durrmeyer type operators. Zbl 1423.41029Acu, Ana-Maria; Gupta, Vijay; Tachev, Gancho 5 2019 A quantitative variant of Voronovskaja’s theorem. Zbl 1181.41026Gonska, Heiner; Tachev, Gancho 5 2009 Approximation by Szász-Mirakyan-Baskakov operators. Zbl 1358.41014Gupta, Vijay; Tachev, Gancho 5 2014 Approximation by linear combinations of complex Phillips operators in compact disks. Zbl 1300.41011Gupta, Vijay; Tachev, Gancho 4 2014 Approximation of bounded continuous functions by linear combinations of Phillips operators. Zbl 1298.41041Tachev, Gancho 4 2014 A converse theorem for the best algebraic approximation in \(L_ p[-1,1] (0<p<1)\). Zbl 0772.41028Tachev, Gancho T. 3 1991 On multiplicativity of the Bernstein operator. Zbl 1232.41005Tachev, Gancho 3 2011 Piecewise linear interpolation with nonequidistant nodes. Zbl 0972.41007Tachev, Gancho T. 3 2000 The rate of approximation by rational Bernstein functions in terms of second order moduli of continuity. Zbl 1244.41002Tachev, Gancho T. 3 2012 On the second moments of variation-diminishing splines. Zbl 1098.41007Beutel, Laura; Gonska, Heiner; Kacsó, Daniela; Tachev, Gancho 2 2004 On the multiplicativity of linear operators. Zbl 1310.41020Gavrea, Ioan; Tachev, Gancho 2 2013 On two modified Phillips operators. Zbl 1513.41037Tachev, Gancho 2 2019 A global inverse theorem for combinations of Phillips operators. Zbl 1357.41006Tachev, Gancho 2 2016 Pointwise estimate for linear combinations of Phillips operators. Zbl 1424.41047Tachev, Gancho 2 2016 Improved approximation on Durrmeyer-type operators. Zbl 1416.41027Gupta, Vijay; Soybaş, Danyal; Tachev, Gancho 2 2019 A new estimate for Hölder approximation by Bernstein operators. Zbl 1253.41019Gonska, H.; Prestin, J.; Tachev, G. 2 2013 Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan 2 2013 The second Ditzian-Totik modulus revisited: Refined estimates for positive linear operators. Zbl 1084.41503Gonska, Heinz H.; Tachev, Gancho T. 2 2003 Voronovskaja’s theorem for Schoenberg operator. Zbl 1236.41010Tachev, Gancho 1 2012 Approximation of a continuous curve by its Bernstein-Bézier operator. Zbl 1231.65036Tachev, Gancho T. 1 2011 The lower estimate for Bernstein operator. Zbl 1318.41005Gal, Sorin G.; Tachev, Ganchov T. 1 2013 A direct theorem for the best algebraic approximation in \(L_ p [-1,1], (0<p<1)\). Zbl 0822.41022Tachev, Gancho T. 1 1990 A counterexample to the conjecture of W. Filippow and P. Oswald. Zbl 0876.42018Tachev, G. T. 1 1994 Quantitative Voronovskaya type theorems for a general sequence of linear positive operators. Zbl 1499.41048Aral, Ali; Tachev, Gancho 1 2019 Approximation by rational spline functions. Zbl 1121.41009Tachev, Gancho T. 1 2006 On the constants in \(\omega_2^\varphi\)-inequalities. Zbl 1111.41015Gonska, Heinz H.; Tachev, Gancho T. 1 2002 Some results on Post-Widder operators preserving test function \(x^r\). Zbl 1499.41065Gupta, Vijay; Tachev, Gancho 1 2022 Some results on Post-Widder operators preserving test function \(x^r\). Zbl 1499.41065Gupta, Vijay; Tachev, Gancho 1 2022 Voronovskaja’s theorem for functions with exponential growth. Zbl 1452.41011Tachev, Gancho; Gupta, Vijay; Aral, Ali 5 2020 Modified Kantorovich operators with better approximation properties. Zbl 1508.41005Gupta, Vijay; Tachev, Gancho; Acu, Ana-Maria 13 2019 A note on the differences of two positive linear operators. Zbl 1463.41026Gupta, Vijay; Tachev, Gancho 8 2019 Better numerical approximation by Durrmeyer type operators. Zbl 1423.41029Acu, Ana-Maria; Gupta, Vijay; Tachev, Gancho 5 2019 On two modified Phillips operators. Zbl 1513.41037Tachev, Gancho 2 2019 Improved approximation on Durrmeyer-type operators. Zbl 1416.41027Gupta, Vijay; Soybaş, Danyal; Tachev, Gancho 2 2019 Quantitative Voronovskaya type theorems for a general sequence of linear positive operators. Zbl 1499.41048Aral, Ali; Tachev, Gancho 1 2019 Approximation with positive linear operators and linear combinations. Zbl 1371.41035Gupta, Vijay; Tachev, Gancho 45 2017 On approximation properties of Phillips operators preserving exponential functions. Zbl 1375.41015Gupta, Vijay; Tachev, Gancho 15 2017 General form of Voronovskaja’s theorem in terms of weighted modulus of continuity. Zbl 1339.41032Gupta, Vijay; Tachev, Gancho 11 2016 Quantitative Voronovskaya-type results for polynomially bounded functions. Zbl 1351.41011Aral, Ali; Gonska, Heiner; Heilmann, Margareta; Tachev, Gancho 5 2016 A global inverse theorem for combinations of Phillips operators. Zbl 1357.41006Tachev, Gancho 2 2016 Pointwise estimate for linear combinations of Phillips operators. Zbl 1424.41047Tachev, Gancho 2 2016 Approximation by Szász-Mirakyan-Baskakov operators. Zbl 1358.41014Gupta, Vijay; Tachev, Gancho 5 2014 Approximation by linear combinations of complex Phillips operators in compact disks. Zbl 1300.41011Gupta, Vijay; Tachev, Gancho 4 2014 Approximation of bounded continuous functions by linear combinations of Phillips operators. Zbl 1298.41041Tachev, Gancho 4 2014 On the multiplicativity of linear operators. Zbl 1310.41020Gavrea, Ioan; Tachev, Gancho 2 2013 A new estimate for Hölder approximation by Bernstein operators. Zbl 1253.41019Gonska, H.; Prestin, J.; Tachev, G. 2 2013 Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan 2 2013 The lower estimate for Bernstein operator. Zbl 1318.41005Gal, Sorin G.; Tachev, Ganchov T. 1 2013 The complete asymptotic expansion for Bernstein operators. Zbl 1232.41016Tachev, Gancho T. 23 2012 Pointwise approximation by Bernstein polynomials. Zbl 1251.41002Tachev, Gancho 6 2012 New estimates in Voronovskaja’s theorem. Zbl 1251.41006Tachev, Gancho 5 2012 The rate of approximation by rational Bernstein functions in terms of second order moduli of continuity. Zbl 1244.41002Tachev, Gancho T. 3 2012 Voronovskaja’s theorem for Schoenberg operator. Zbl 1236.41010Tachev, Gancho 1 2012 Grüss-type inequalities for positive linear operators with second order moduli. Zbl 1289.41036Gonska, Heiner; Tachev, Gancho 21 2011 Commutativity, direct and strong converse results for Philipps operators. Zbl 1269.41005Heilmann, Margareta; Tachev, Gancho 13 2011 On multiplicativity of the Bernstein operator. Zbl 1232.41005Tachev, Gancho 3 2011 Approximation of a continuous curve by its Bernstein-Bézier operator. Zbl 1231.65036Tachev, Gancho T. 1 2011 A quantitative variant of Voronovskaja’s theorem. Zbl 1181.41026Gonska, Heiner; Tachev, Gancho 5 2009 Voronovskaja’s theorem revisited. Zbl 1140.41002Tachev, Gancho T. 10 2008 Approximation by rational spline functions. Zbl 1121.41009Tachev, Gancho T. 1 2006 On the second moments of variation-diminishing splines. Zbl 1098.41007Beutel, Laura; Gonska, Heiner; Kacsó, Daniela; Tachev, Gancho 2 2004 General estimates for the Ditzian-Totik modulus. Zbl 1111.41004Gavrea, Ioan; Gonska, Heiner; Păltănea, Radu; Tachev, Gancho 7 2003 The second Ditzian-Totik modulus revisited: Refined estimates for positive linear operators. Zbl 1084.41503Gonska, Heinz H.; Tachev, Gancho T. 2 2003 On variation-diminishing Schoenberg operators: new quantitative statements. Zbl 1113.41014Beutel, Laura; Gonska, Heiner; Kacsó, Daniela; Tachev, Gancho 10 2002 Variation-diminishing splines revisited. Zbl 1071.41010Beutel, L.; Gonska, H.; Kacsó, D.; Tachev, G. 6 2002 On the constants in \(\omega_2^\varphi\)-inequalities. Zbl 1111.41015Gonska, Heinz H.; Tachev, Gancho T. 1 2002 Piecewise linear interpolation with nonequidistant nodes. Zbl 0972.41007Tachev, Gancho T. 3 2000 A counterexample to the conjecture of W. Filippow and P. Oswald. Zbl 0876.42018Tachev, G. T. 1 1994 A converse theorem for the best algebraic approximation in \(L_ p[-1,1] (0<p<1)\). Zbl 0772.41028Tachev, Gancho T. 3 1991 A direct theorem for the best algebraic approximation in \(L_ p [-1,1], (0<p<1)\). Zbl 0822.41022Tachev, Gancho T. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 24 Gupta, Vijay 19 Acu, Ana Maria 19 Tachev, Gancho T. 14 Aral, Ali 10 Rasa, Ioan 8 Acar, Tuncer 8 Agrawal, Purshottam Narain 7 Gavrea, Ioan 6 Ivan, Mircea Dumitru 6 Kajla, Arun 6 Păltănea, Radu 5 Adell, José Antonio 5 Çetin, Nursel 4 Cárdenas-Morales, Daniel 4 Gonska, Heinz Herbert 4 Malik, Neha 4 Mishra, Vishnu Narayan 4 Soybaş, Danyal 4 Xiang, Jim X. 3 Bajpeyi, Shivam 3 Bascanbaz-Tunca, Gulen 3 Bustamante González, Jorge 3 Deo, Naokant 3 Draganov, Borislav R. 3 Finta, Zoltán 3 Heilmann, Margareta 3 Holhoş, Adrian 3 Manav, Nesibe 3 Radu, Voichiţa Adriana 3 Xie, Linsen 3 Yilmaz, Başar 2 Agratini, Octavian 2 Agrawal, Deepika 2 Agrawal, Gunjan 2 Amato, Umberto 2 Baxhaku, Behar 2 Behiry, S. H. 2 Bodur, Murat 2 Cai, Qingbo 2 Chauhan, Ruchi 2 Della Vecchia, Biancamaria 2 Deshwal, Sheetal 2 Dinlemez Kantar, Ülkü 2 Erbay, Hasan 2 Erençin, Ayşegül 2 Gal, Sorin Gheorghe 2 Kopotun, Kirill A. 2 López-Borbón, Joaquín 2 Mantellini, Ilaria 2 Moldovan, Camelia Liliana 2 Ozarslan, Mehmet Ali 2 Srivastava, Hari Mohan 2 Uysal, Gumrah 2 Vega-Amaya, Oscar 2 Wang, Shuli 2 Yadav, Rishikesh 2 Yilmaz, Övgü Gürel 1 Abel, Ulrich 1 Ada, Gülsüm Ulusoy 1 Alghamdi, Mohammed Ali 1 Alotaibi, Abdullah M. 1 Amirfakhrian, Majid 1 Angamuthu, Sathish Kumar 1 Anjali 1 Ari, Didem Aydin 1 Bardaro, Carlo 1 Beniwal, Man Singh 1 Bhatnagar, Dhruv 1 Bhatt, Dhawal J. 1 Bogdanov, Vladimir Vasil’evich 1 Cappelletti Montano, Mirella 1 Çekım, Bayram 1 Cerejeiras, Paula 1 Chowdhury, Shuvro 1 Dehghan Takht Fooladi, Mehdi 1 Dikmen, Akif Barbaros 1 Ditzian, Zeev 1 Du, Hong 1 Eslahchi, Mohammad Reza 1 Ezzati, Reza 1 Falahhesar, S. S. 1 Flores-de-Jesús, Lázaro 1 Forster-Heinlein, Brigitte 1 Gadjev, Ivan 1 Gairola, Asha Ram 1 Gao, Qinjiao 1 Garg, Tarul 1 Garrancho, Pedro 1 Goyal, Meenu 1 Gupta, Ruchi 1 Hesameddini, Esmail 1 Hoseini, Seyede Fatemeh 1 İnce İlarslan, Hatice Gül 1 Ivanov, Kamen G. 1 Jana, Ranjan Kumar 1 Kajla, Neha 1 Kanat, Kadir 1 Khosravian-Arab, Hassan 1 Khristov, Vladimir Kh. 1 Kolomoitsev, Yurii S. ...and 59 more Authors all top 5 Cited in 66 Serials 18 Results in Mathematics 10 Journal of Mathematical Analysis and Applications 8 Numerical Functional Analysis and Optimization 8 Mediterranean Journal of Mathematics 7 Filomat 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Constructive Mathematical Analysis 6 Applied Mathematics and Computation 6 Journal of Approximation Theory 6 Positivity 6 Journal of Inequalities and Applications 5 Numerical Algorithms 5 Georgian Mathematical Journal 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal of Mathematical Inequalities 4 Analysis and Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Annals of Functional Analysis 3 Journal of Function Spaces 2 Rocky Mountain Journal of Mathematics 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Acta Mathematica Hungarica 2 Constructive Approximation 2 Facta Universitatis. Series Mathematics and Informatics 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Kragujevac Journal of Mathematics 2 Journal of Classical Analysis 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Calcolo 1 Demonstratio Mathematica 1 Kybernetika 1 Kyungpook Mathematical Journal 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Siberian Mathematical Journal 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 International Journal of Computer Mathematics 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Advances in Difference Equations 1 Operators and Matrices 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Numerical Analysis 1 Journal of Dynamics and Games 1 Journal of Mathematics 1 Discontinuity, Nonlinearity, and Complexity 1 Khayyam Journal of Mathematics all top 5 Cited in 19 Fields 169 Approximations and expansions (41-XX) 18 Numerical analysis (65-XX) 9 Real functions (26-XX) 8 Operator theory (47-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 6 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematics education (97-XX) Citations by Year