Publications
Preprints
Nhan D. V. Nguyen, Curve crossings of random polynomials, in preparation.
Yen Q. Do, Nhan D. V. Nguyen, and Sean O'Rourke, Real roots of non-centered random polynomials, preprint.
Yen Q. Do and Nhan D. V. Nguyen, Real roots of random polynomials: asymptotics of the variance, submitted. arXiv preprint
Publications
Nhan D. V. Nguyen, The number of real zeros of elliptic polynomials, Electron. J. Probab. 29 (2024), article no. 81, 1-49. Available at: https://doi.org/10.1214/24-EJP1142
Nhan D. V. Nguyen, Estimates for correlation functions of real roots for random polynomials and applications, Ph.D. Dissertation, University of Virginia.
Duc T. Dinh, Hue N. Nguyen, Nhan D. V. Nguyen, and Tuan K. Vu, Convexity according to a pair of quasi-arithmetic means and inequalities, J. Math. Anal. Appl. 488 (2020), no. 1, 124059, 23 pp.
Nhan D. V. Nguyen, Duc T. Dinh, Tuan K. Vu, and Phung D. Tran, Dynamic Picone's identity and its applications, J. Math. Anal. Appl. 469 (2019), no. 1, 342-357.
Nhan D. V. Nguyen, Phung D. Tran, Duc T. Dinh, and Tuan K. Vu, Opial and Lyapunov inequalities on time scales and their applications to dynamic equations, Kodai Math. J. 40 (2017), no. 2, 254-277.
Duc T. Dinh, Nhan D. V. Nguyen, and Xuan T. Nguyen, Inequalities for partial derivatives and their applications, Canad. Math. Bull. 58 (2015), no. 3, 486-496.
Duc T. Dinh and Nhan D. V. Nguyen, Norm inequalities for new convolutions and their applications, Appl. Anal. Discrete Math. 9 (2015), no. 1, 168-179.
Nhan D. V. Nguyen, Duc T. Dinh, Tuan K. Vu, and Vu D. H. Nguyen, Inequalities for differences and their applications, J. Difference Equ. Appl. 20 (2014), no. 9, 1319-1343.
Nhan D. V. Nguyen, Duc T. Dinh, and Tuan K. Vu, Weighted norm inequalities for derivatives and their applications, Kodai Math. J. 36 (2013), no. 2, 228-245.
Nhan D. V. Nguyen and Duc T. Dinh, Norm inequalities for Mellin convolutions and their applications, Complex Anal. Oper. Theory 7 (2013), no. 4, 1287-1297.
Nhan D. V. Nguyen and Duc T. Dinh, Various inequalities in reproducing kernel Hilbert spaces, Taiwanese J. Math. 17 (2013), no. 1, 221-237.
Nhan D. V. Nguyen and Duc T. Dinh, Convolution inequalities and their applications to reproducing kernel Hilbert spaces, Interactions between real and complex analysis, 224-242, Sci. Technics Publ. House, Hanoi, 2012.
Nhan D. V. Nguyen and Duc T. Dinh, Convolution inequalities in $\ell_p$ weighted spaces, Canad. Math. Bull. 55 (2012), no. 2, 355-367.
Duc T. Dinh and Nhan D. V. Nguyen, Generalize some norm inequalities of Saitoh, Kodai Math. J. 34 (2011), no. 2, 191-201.
Nhan D. V. Nguyen, Duc T. Dinh, and Tuan K. Vu, Weighted norm inequalities for a nonlinear transform, Comput. Math. Appl. 61 (2011), no. 4, 832-839.
Nhan D. V. Nguyen, Duc T. Dinh, and Tuan K. Vu, Reverse weighted $L_p-$norm inequalities for convolution type integrals, Armen. J. Math. 2 (2009), no. 3, 77-93.
Nhan D. V. Nguyen and Duc T. Dinh, Fundamental iterated convolution inequalities in weighted $L_p$ spaces and their applications, Math. Inequal. Appl. 12 (2009), no. 3, 487-498.
Duc T. Dinh and Nhan D. V. Nguyen, On some reverse weighted $L_p(\mathbb R^n)-$norm inequalities in convolutions and their applications, Math. Inequal. Appl. 12 (2009), no. 1, 67-80.
Nhan D. V. Nguyen, Duc T. Dinh, and Tuan K. Vu, Weighted $L_p-$norm inequalities for various convolution type transformations and their applications, Armen. J. Math. 1 (2008), no. 4, 1-18.
Nhan D. V. Nguyen and Duc T. Dinh, Fundamental inequalities for the iterated Laplace convolution in weighted $L_p$ spaces and their applications, Integral Transforms Spec. Funct. 19 (2008), no. 9-10, 655-664.
Nhan D. V. Nguyen and Duc T. Dinh, Reverse weighted $L_p-$norm inequalities and their applications, J. Math. Inequal. 2 (2008), no. 1, 57-73.
Nhan D. V. Nguyen and Duc T. Dinh, Weighted $L_p-$norm inequalities in convolutions and their applications, J. Math. Inequal. 2 (2008), no. 1, 45-55.
Duc T. Dinh and Nhan D. V. Nguyen, Some applications of convolution inequalities in weighted $L_p$ spaces, Integral Transforms Spec. Funct. 19 (2008), no. 7-8, 471-480.
Duc T. Dinh and Nhan D. V. Nguyen, On some convolution norm inequalities in weighted $L_p(\mathbb R^n,\rho)$ spaces and their applications, Math. Inequal. Appl. 11 (2008), no. 3, 495-505.