## Biography

C.R. Selvaraj is an Associate Professor in the Department of Mathematics in Eberly College of Science. He received his Ph.D. in Approximation Theory from Kent State University, Kent, Ohio. His Erdős number is 2. (The Erdős number (Hungarian pronunciation: [ˈɛrdøːʃ]) describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers.)

MR Erdos Number = 2

Chikkanna R. Selvaraj coauthored with József Szabados

József Szabados coauthored with Paul Erdős

In his spare time he enjoys playing chess and solving Rubik’s cube, Ken-Ken and Sudoku. His interest also includes solving problems in The American Mathematical Monthly, The College Mathematics Journal and Mathematics Magazine.

## Research Interests

Approximation Theory

Summability Theory

## Publications

- Selvaraj, Chikkanna Ramalingam; Selvaraj, Suguna (
*p*,*p*;*r*)-convexity preserving infinite matrices.*Appl. Math. E-Notes*19 (2019), 445–455. 40C05 (40G05) - Selvaraj, Chikkanna R.; Selvaraj, Suguna Nonnegative infinite matrices that preserve (
*p*,*q*)-convexity of sequences.*Abstr. Appl. Anal.*2017, Art. ID 9167069, 9 pp. 40A05 - Selvaraj, Chikkanna R.; Selvaraj, Suguna Positivity of linear transformations of mean-starshaped sequences. Positivity 20 (2016), no. 4, 805–822.
- Selvaraj, Chikkanna R.; Selvaraj, Suguna Summability matrices and mean-convex sequences. Int. J. Contemp. Math. Sci. 8 (2013), no. 17-20, 941–956.
- Selvaraj, Chikkanna R.; Selvaraj, Suguna Classical matrices and mean-starshaped sequences. Int. J. Contemp. Math. Sci. 8 (2013), no. 5-8, 327–347.
- Selvaraj, Chikkanna R.; Selvaraj, Suguna Matrix transformations and disk of convergence in interpolation processes. Int. J. Math. Math. Sci. 2008, Art. ID 905635, 11 pp.
- Selvaraj, Chikkanna R.; Selvaraj, Suguna Matrix transformations and Walsh's equiconvergence theorem. Int. J. Math. Math. Sci. 2005, no. 16, 2647–2653.
- Selvaraj, Chikkanna R.; Selvaraj, Suguna Matrix transformations of starshaped sequences.
*Int. J. Math. Math. Sci.*28 (2001), no. 4, 189–200. 40C05 (40D05) - Selvaraj, C. R.; Selvaraj, S.; Problems and Solutions: Solutions: 10420.
*Amer. Math. Monthly*104 (1997), no. 5, 466. - Cavaretta, A. S.; Selvaraj, C. R.; Sharma, A. Lacunary interpolation by cosine polynomials. The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin.
*Ann. Numer. Math.*4 (1997), no. 1-4, 181–192. (Reviewer: Gerald D. Taylor) 41A05 (42A15) - Eynden, Charles Vanden; Satnoianu, Razvan; Correll, Bill, Jr.; Selvaraj, C. R.; Selvaraj, S.; Militaru, Gigel; Fieldsteel, Adam; Filaseta, M.; Nicol, C.; Problems and Solutions: Problems: 10417-10423.
*Amer. Math. Monthly*101 (1994), no. 10, 1013–1014. - Selvaraj, C. R. Lacunary interpolation by cosine polynomials.
*Acta Math. Hungar.*64 (1994), no. 4, 361–372. (Reviewer: Ion Badea) 42A15 - Selvaraj, C. R.; Selvaraj, Suguna Matrix transformations of classes of geometric sequences.
*Rocky Mountain J. Math.*23 (1993), no. 3, 1099–1106. (Reviewer: John A. Fridy) 40C05 - Selvaraj, C. R.; Selvaraj, Suguna Convexity preserving matrices that are stronger than the identity mapping.
*Houston J. Math.*18 (1992), no. 3, 329–338. (Reviewer: Lee W. Baric) 40C05 (40G05 40G10) - Selvaraj, C. R. Convexity preserving summability matrices.
*Internat. J. Math. Math. Sci.*13 (1990), no. 3, 501–506. (Reviewer: M. S. Ramanujan) 40C05 (40G05) - Cavaretta, A. S., Jr.; Selvaraj, C. R.; Goodman, T. N. T.; Problems and Solutions: Solutions of Advanced Problems: 6543.
*Amer. Math. Monthly*96 (1989), no. 8, 744–745. - Cavaretta, A. S., Jr.; Selvaraj, C. R. Convergence rates for lacunary trigonometric interpolation.
*Approx. Theory Appl.*5 (1989), no. 2, 25–38. (Reviewer: J. Szabados) 42A15 (41A40) - Szabados, J.; Varma, A. K.; Selvaraj, C. R. Error estimates of a general lacunary trigonometric interpolation on equidistant nodes.
*Studia Sci. Math. Hungar.*23 (1988), no. 1-2, 215–224. (Reviewer: S. D. Riemenschneider) 42A15 - Odlyzko, Andrew M.; Cavaretta, A. S., Jr.; Selvaraj, C. R.; Goffinet, Daniel; Fauriel, Lycee Claude; Problems and Solutions: Advanced Problems: 6542-6544.
*Amer. Math. Monthly*94 (1987), no. 4, 386–387. - Selvaraj, Chikkanna Ramalingam; Rates of convergence and saturation classes for certain trigonometric interpolation operators. Thesis (Ph.D.) – Kent State University. 1987. 50 pp,
*ProQuest LLC*

## Education

Ph.D., Kent State University