Dimitrov, Dimitar K.; Gadjev, Ivan; Ismail, Mourad E. H. Sharp Hardy’s Inequalities in Hilbert Spaces. arXiv:2306.08172 Preprint, arXiv:2306.08172 [math.CA] (2023). MSC: 26D10 26D15 33D45 BibTeX Cite \textit{D. K. Dimitrov} et al., ``Sharp Hardy's Inequalities in Hilbert Spaces'', Preprint, arXiv:2306.08172 [math.CA] (2023) Full Text: arXiv OA License
Dimitrov, Dimitar K.; Gadjev, Ivan; Nikolov, Geno; Uluchev, Rumen Hardy’s inequalities in finite dimensional Hilbert spaces. (English) Zbl 1470.26024 Proc. Am. Math. Soc. 149, No. 6, 2515-2529 (2021). Reviewer: S. L. Kalla (Ballwin) MSC: 26D10 15A42 26D15 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} et al., Proc. Am. Math. Soc. 149, No. 6, 2515--2529 (2021; Zbl 1470.26024) Full Text: DOI arXiv
Dimitrov, Dimitar K.; Nikolov, Geno P. A discrete weighted Markov-Bernstein inequality for sequences and polynomials. (English) Zbl 1455.41003 J. Math. Anal. Appl. 493, No. 1, Article ID 124522, 15 p. (2021). Reviewer: Alexei Lukashov (Saratov) MSC: 41A17 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{G. P. Nikolov}, J. Math. Anal. Appl. 493, No. 1, Article ID 124522, 15 p. (2021; Zbl 1455.41003) Full Text: DOI arXiv
Dimitrov, Dimitar K.; Peixoto, Lourenço L. An efficient algorithm for the classical least squares approximation. (English) Zbl 1452.65032 SIAM J. Sci. Comput. 42, No. 5, A3233-A3249 (2020). MSC: 65D10 65D30 65H04 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{L. L. Peixoto}, SIAM J. Sci. Comput. 42, No. 5, A3233--A3249 (2020; Zbl 1452.65032) Full Text: DOI
Dimitrov, Dimitar K.; Shapiro, Boris Electrostatic problems with a rational constraint and degenerate Lamé equations. (English) Zbl 1469.31024 Potential Anal. 52, No. 4, 645-659 (2020). Reviewer: Stamatis Pouliasis (Thessaloniki) MSC: 31C10 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{B. Shapiro}, Potential Anal. 52, No. 4, 645--659 (2020; Zbl 1469.31024) Full Text: DOI arXiv
Area, I.; Dimitrov, Dimitar K.; Godoy, E. Recursive computation of generalised Zernike polynomials. (English) Zbl 1350.41013 J. Comput. Appl. Math. 312, 58-64 (2017). MSC: 41A21 41A27 42C05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 312, 58--64 (2017; Zbl 1350.41013) Full Text: DOI Link
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G. Approximate calculation of sums. II: Gaussian type quadrature. (English) Zbl 1343.65021 SIAM J. Numer. Anal. 54, No. 4, 2210-2227 (2016). MSC: 65D30 65H04 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 54, No. 4, 2210--2227 (2016; Zbl 1343.65021) Full Text: DOI
Dimitrov, Dimitar K.; Dos Santos, Eliel J. C. Asymptotic behaviour of Jacobi polynomials and their zeros. (English) Zbl 1336.33024 Proc. Am. Math. Soc. 144, No. 2, 535-545 (2016). Reviewer: Piroska Lakatos (Debrecen) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{E. J. C. Dos Santos}, Proc. Am. Math. Soc. 144, No. 2, 535--545 (2016; Zbl 1336.33024) Full Text: DOI
Dimitrov, Dimitar K.; Xu, Yuan Slater determinants of orthogonal polynomials. (English) Zbl 1333.81449 J. Math. Anal. Appl. 435, No. 2, 1552-1572 (2016). MSC: 81V70 82B10 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{Y. Xu}, J. Math. Anal. Appl. 435, No. 2, 1552--1572 (2016; Zbl 1333.81449) Full Text: DOI arXiv
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Bounds for the zeros of symmetric Kravchuk polynomials. (English) Zbl 1320.33012 Numer. Algorithms 69, No. 3, 611-624 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Numer. Algorithms 69, No. 3, 611--624 (2015; Zbl 1320.33012) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo Zero sets of bivariate Hermite polynomials. (English) Zbl 1343.33006 J. Math. Anal. Appl. 421, No. 1, 830-841 (2015). MSC: 33C50 33D50 14H99 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 421, No. 1, 830--841 (2015; Zbl 1343.33006) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Approximate calculation of sums. I: Bounds for the zeros of Gram polynomials. (English) Zbl 1311.33006 SIAM J. Numer. Anal. 52, No. 4, 1867-1886 (2014). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C45 26C10 65D30 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 52, No. 4, 1867--1886 (2014; Zbl 1311.33006) Full Text: DOI
Dimitrov, Dimitar K.; Lun, Yen Chi Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials. (English) Zbl 1298.33015 J. Approx. Theory 181, 18-29 (2014). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{Y. C. Lun}, J. Approx. Theory 181, 18--29 (2014; Zbl 1298.33015) Full Text: DOI
Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R. Perturbations on the antidiagonals of Hankel matrices. (English) Zbl 1329.15057 Appl. Math. Comput. 221, 444-452 (2013). MSC: 15B05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 221, 444--452 (2013; Zbl 1329.15057) Full Text: DOI Link
Dimitrov, Dimitar K.; Ismail, Mourad E. H.; Rafaeli, Fernando R. Interlacing of zeros of orthogonal polynomials under modification of the measure. (English) Zbl 1337.30003 J. Approx. Theory 175, 64-76 (2013). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 30C10 30C15 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} et al., J. Approx. Theory 175, 64--76 (2013; Zbl 1337.30003) Full Text: DOI
Dimitrov, Dimitar K.; Ranga, A. Sri Zeros of a family of hypergeometric para-orthogonal polynomials on the unit circle. (English) Zbl 1290.33008 Math. Nachr. 286, No. 17-18, 1778-1791 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 30C15 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{A. S. Ranga}, Math. Nachr. 286, No. 17--18, 1778--1791 (2013; Zbl 1290.33008) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G. Zeros of classical orthogonal polynomials of a discrete variable. (English) Zbl 1266.33009 Math. Comput. 82, No. 282, 1069-1095 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 82, No. 282, 1069--1095 (2013; Zbl 1266.33009) Full Text: DOI
Dimitrov, D. K.; Ismail, M. E. H.; Sri Ranga, A. A class of hypergeometric polynomials with zeros on the unit circle: extremal and orthogonal properties and quadrature formulas. (English) Zbl 1268.33007 Appl. Numer. Math. 65, 41-52 (2013). Reviewer: Luan Ozelim (Brasilia) MSC: 33C45 33C05 65D32 PDFBibTeX XMLCite \textit{D. K. Dimitrov} et al., Appl. Numer. Math. 65, 41--52 (2013; Zbl 1268.33007) Full Text: DOI
Dimitrov, Dimitar K. Lee-Yang measures and wave functions. arXiv:1311.0596 Preprint, arXiv:1311.0596 [math-ph] (2013). MSC: 42A38 82C20 33C45 BibTeX Cite \textit{D. K. Dimitrov}, ``Lee-Yang measures and wave functions'', Preprint, arXiv:1311.0596 [math-ph] (2013) Full Text: arXiv OA License
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Rafaeli, Fernando R. Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem. (English) Zbl 1247.33013 Math. Comput. 81, No. 278, 991-1004 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 81, No. 278, 991--1004 (2012; Zbl 1247.33013) Full Text: DOI
Dimitrov, Dimitar K.; Rusev, Peter K. Zeros of entire Fourier transforms. (English) Zbl 1230.42003 East J. Approx. 17, No. 1, 1-110 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42A15 26C10 30C15 33C10 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{P. K. Rusev}, East J. Approx. 17, No. 1, 1--110 (2011; Zbl 1230.42003)
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo Convolutions and zeros of orthogonal polynomials. (English) Zbl 1216.33018 Appl. Numer. Math. 61, No. 7, 868-878 (2011). MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Numer. Math. 61, No. 7, 868--878 (2011; Zbl 1216.33018) Full Text: DOI
Dimitrov, Dimitar K.; Nikolov, Geno P. Sharp bounds for the extreme zeros of classical orthogonal polynomials. (English) Zbl 1206.33008 J. Approx. Theory 162, No. 10, 1793-1804 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{G. P. Nikolov}, J. Approx. Theory 162, No. 10, 1793--1804 (2010; Zbl 1206.33008) Full Text: DOI
Dimitrov, Dimitar K.; Marcellán, Francisco; Rafaeli, Fernando R. Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials. (English) Zbl 1202.33015 J. Math. Anal. Appl. 368, No. 1, 80-89 (2010). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 34E05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} et al., J. Math. Anal. Appl. 368, No. 1, 80--89 (2010; Zbl 1202.33015) Full Text: DOI
Dimitrov, Dimitar K.; Mello, Mirela V.; Rafaeli, Fernando R. Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials. (English) Zbl 1191.33003 Appl. Numer. Math. 60, No. 3, 263-276 (2010). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} et al., Appl. Numer. Math. 60, No. 3, 263--276 (2010; Zbl 1191.33003) Full Text: DOI
Dimitrov, Dimitar K.; Rafaeli, Fernando R. Descartes rule of signs for orthogonal polynomials. (English) Zbl 1325.33008 East J. Approx. 15, No. 2, 233-262 (2009). MSC: 33C45 26C10 33C90 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{F. R. Rafaeli}, East J. Approx. 15, No. 2, 233--262 (2009; Zbl 1325.33008)
Dimitrov, Dimitar K.; Ben Cheikh, Youssèf Laguerre polynomials as Jensen polynomials of Laguerre-Pólya entire functions. (English) Zbl 1185.33010 J. Comput. Appl. Math. 233, No. 3, 703-707 (2009). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C47 33C10 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{Y. Ben Cheikh}, J. Comput. Appl. Math. 233, No. 3, 703--707 (2009; Zbl 1185.33010) Full Text: DOI
Dimitrov, Dimitar K.; Rafaeli, Fernando R. Monotonicity of zeros of Laguerre polynomials. (English) Zbl 1181.33010 J. Comput. Appl. Math. 233, No. 3, 699-702 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{F. R. Rafaeli}, J. Comput. Appl. Math. 233, No. 3, 699--702 (2009; Zbl 1181.33010) Full Text: DOI
Dimitrov, Dimitar K.; Rafaeli, Fernando R. Monotonicity of zeros of Jacobi polynomials. (English) Zbl 1139.33003 J. Approx. Theory 149, No. 1, 15-29 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{F. R. Rafaeli}, J. Approx. Theory 149, No. 1, 15--29 (2007; Zbl 1139.33003) Full Text: DOI Link
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André Zeros of Jacobi functions of second kind. (English) Zbl 1089.33003 J. Comput. Appl. Math. 188, No. 1, 65-76 (2006). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C05 30C15 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 188, No. 1, 65--76 (2006; Zbl 1089.33003) Full Text: DOI
de Andrade, Eliana X. L.; Dimitrov, Dimitar K.; De Sousa, Lisandra E. Landau and Kolmogoroff type polynomial inequalities. II. (English) Zbl 1062.41012 Arch. Inequal. Appl. 2, No. 2-3, 339-353 (2004). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 41A17 26D15 33C45 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} et al., Arch. Inequal. Appl. 2, No. 2--3, 339--353 (2004; Zbl 1062.41012)
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André Zeros of Gegenbauer and Hermite polynomials and connection coefficients. (English) Zbl 1048.33007 Math. Comput. 73, No. 248, 1937-1951 (2004). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 73, No. 248, 1937--1951 (2004; Zbl 1048.33007) Full Text: DOI
Dimitrov, Dimitar K. Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials. (English) Zbl 1017.33004 J. Comput. Appl. Math. 153, No. 1-2, 171-180 (2003). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{D. K. Dimitrov}, J. Comput. Appl. Math. 153, No. 1--2, 171--180 (2003; Zbl 1017.33004) Full Text: DOI
Dimitrov, Dimitar K.; Sri Ranga, A. Monotonicity of zeroes of orthogonal Laurent polynomials. (English) Zbl 1033.42022 Methods Appl. Anal. 9, No. 1, 1-11 (2002). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{A. Sri Ranga}, Methods Appl. Anal. 9, No. 1, 1--11 (2002; Zbl 1033.42022) Full Text: DOI
Bracciali, C. F.; Dimitrov, D. K.; Sri Ranga, A. Chain sequences and symmetric generalized orthogonal polynomials. (English) Zbl 1006.33008 J. Comput. Appl. Math. 143, No. 1, 95-106 (2002). Reviewer: N. M. Temme (Amsterdam) MSC: 33C45 42C05 40A15 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Comput. Appl. Math. 143, No. 1, 95--106 (2002; Zbl 1006.33008) Full Text: DOI
Dimitrov, Dimitar K. Connection coefficients and zeros of orthogonal polynomials. (English) Zbl 1010.42016 J. Comput. Appl. Math. 133, No. 1-2, 331-340 (2001). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov}, J. Comput. Appl. Math. 133, No. 1--2, 331--340 (2001; Zbl 1010.42016) Full Text: DOI
Dimitrov, Dimitar K.; Ronveaux, André Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. (English) Zbl 0966.33006 Appl. Numer. Math. 36, No. 2-3, 321-331 (2001). Reviewer: Walter Van Assche (Leuven) MSC: 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{A. Ronveaux}, Appl. Numer. Math. 36, No. 2--3, 321--331 (2001; Zbl 0966.33006) Full Text: DOI
Dimitrov, Dimitar K.; Van Assche, Walter Lamé differential equations and electrostatics. (English) Zbl 0952.34023 Proc. Am. Math. Soc. 128, No. 12, 3621-3628 (2000); erratum ibid. 131, No. 7, 2303 (2003). MSC: 34B30 33C45 34C10 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{W. Van Assche}, Proc. Am. Math. Soc. 128, No. 12, 3621--3628 (2000; Zbl 0952.34023) Full Text: DOI
Alves, Claudia R. R.; Dimitrov, Dimitar K. Landau and Kolmogoroff type polynomial inequalities. (English) Zbl 0949.41005 J. Inequal. Appl. 4, No. 4, 327-338 (1999). Reviewer: Jan Szynal (Lublin) MSC: 41A17 26D15 33C45 PDFBibTeX XMLCite \textit{C. R. R. Alves} and \textit{D. K. Dimitrov}, J. Inequal. Appl. 4, No. 4, 327--338 (1999; Zbl 0949.41005) Full Text: DOI EuDML
Dimitrov, Dimitar K.; Merlo, Clinton A. Two new conjectures concerning positive Jacobi polynomials sums. (English) Zbl 0967.33004 Rev. Colomb. Mat. 32, No. 2, 133-142 (1998). MSC: 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{C. A. Merlo}, Rev. Colomb. Mat. 32, No. 2, 133--142 (1998; Zbl 0967.33004) Full Text: EuDML
de Andrade, Eliana X. L.; Dimitrov, Dimitar K. Chebyshev-Laurent polynomials and weighted approximation. (English) Zbl 0936.41004 Jones, William B. (ed.) et al., Orthogonal functions, moment theory, and continued fractions: theory and applications. Proceedings of a research conference/workshop, Campinas, São Paulo, Brazil, June 19-28, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 199, 1-14 (1998). Reviewer: J.Illán González (Vigo) MSC: 41A10 41A05 41A50 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} and \textit{D. K. Dimitrov}, Lect. Notes Pure Appl. Math. 199, 1--14 (1998; Zbl 0936.41004)
Dimitrov, Dimitar K. Electrostatic interpretation and bounds for the extreme zeros of classical orthogonal polynomials. (English) Zbl 0916.33003 Bull. Greek Math. Soc. 40, 43-48 (1998). Reviewer: E.Lanckau (Chemnitz) MSC: 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov}, Bull. Greek Math. Soc. 40, 43--48 (1998; Zbl 0916.33003) Full Text: EuDML
de Andrade, Eliana X. L.; Dimitrov, Dimitar K.; Sri Ranga, A. Characterization of generalized Bessel polynomials in terms of polynomial inequalities. (English) Zbl 0911.33004 J. Math. Anal. Appl. 221, No. 2, 538-543 (1998). Reviewer: Hari M. Srivastava (Victoria) MSC: 33C45 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} et al., J. Math. Anal. Appl. 221, No. 2, 538--543 (1998; Zbl 0911.33004) Full Text: DOI Link
Dimitrov, Dimitar K. Higher order Turán inequalities. (English) Zbl 0891.30016 Proc. Am. Math. Soc. 126, No. 7, 2033-2037 (1998). MSC: 30D10 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov}, Proc. Am. Math. Soc. 126, No. 7, 2033--2037 (1998; Zbl 0891.30016) Full Text: DOI
Dimitrov, Dimitar K.; Phillips, George M. Erratum: A note on convergence of Newton interpolating polynomials J. Comput. Appl. Math. 51 (1) (1994) 127-130. (English) Zbl 0835.41006 J. Comput. Appl. Math. 51, No. 3, 411 (1994). MSC: 41A10 33C20 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{G. M. Phillips}, J. Comput. Appl. Math. 51, No. 3, 411 (1994; Zbl 0835.41006) Full Text: DOI
Dimitrov, Dimitar K.; Phillips, George M. A note on convergence of Newton interpolating polynomials. (English) Zbl 0810.41008 J. Comput. Appl. Math. 51, No. 1, 127-130 (1994). Reviewer: J.Saurer (Regensburg) MSC: 41A10 33C20 33C45 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{G. M. Phillips}, J. Comput. Appl. Math. 51, No. 1, 127--130 (1994; Zbl 0810.41008) Full Text: DOI
Docev, Kiril; Dimitrov, Dimit’r Quelques propriétés des polynômes à zéros réels et des fonctions entieres de type Laguerrien. (Bulgarian) Zbl 0255.26019 God. Sofij. Univ., Mat. Fak. 65(1970/71), 47-53 (1972). MSC: 26C10 33C45 PDFBibTeX XMLCite \textit{K. Docev} and \textit{D. Dimitrov}, God. Sofiĭ. Univ., Mat. Fak. 65, 47--53 (1972; Zbl 0255.26019)