Dr. Meenu Rani

Assistant Professor

Specialization

Approximation Theory

Email

meenu_rani@thapar.edu

Specialization

Approximation Theory

Email

meenu_rani@thapar.edu

Contact No.

+91-8266990804

Assistant Professor

meenu_rani@thapar.edu

Biography

Dr. Meenu Rani is working as an Assistant Professor in the School of Mathematics (SOM), Thapar Institute of Engineering and Technology (TIET), Patiala. She joined the department in July 2017. She completed her PhD from Indian Institute of Technology, Roorkee. Her area of research is Approximation theory. She has published 14 SCI research papers. She has guided 6 Master’s students. Currently, she is guiding 3 research scholars. She has taught UG and PG students various subjects namely Engineering Mathematics (I, II), Real Analysis, Calculus, Numerical Analysis, Complex Analysis, Topology.

Education

  • Ph.D. in Mathematics from IIT Roorkee, Roorkee, India, in September, 2016. Thesis Title: Approximation by certain positive linear methods of convergence.
  • Master of Science (M.Sc.) Hons. in Mathematics from Panjab University, Chandigarh, India in May, 2011 with 75.7% Marks.
  • Bachelor of Arts (B. A.) (subjects: English, Hindi, Economics, Mathematics) from Kurukshetra University, Haryana, India, in April, 2009 with 81.08% Marks.

Experience: Total Teaching Experience: 7 years

  • August 2016 – July 2017: Assistant Professor, Department of Mathematics, Dehradun Institute of Technology, Dehradun.
  • August 2017 – October 2018: Lecturer, School of Mathematics, TIET, Patiala.
  • October 2018 – Till now: Assistant Professor, School of Mathematics, TIET, Patiala.

Teaching Interests:

  • Real Analysis
  • Functional Analysis
  • Complex Analysis
  • Numerical Analysis

Research Interest :

  • Real and Complex Analysis
  • Approximation Theory
  • q-Calculus
  • Operator Theory

Research Projects

  • Function Approximation and Generalized Bezier Curves Generated by Some Positive Linear Operators, NBHM (Ongoing), Thapar Institute of Engineering and Technology, Patiala.

Publications:

Journals (SCIE)

  1. Meenu Goyal, V. Gupta and P. N. Agrawal, Quantitative convergence results for a family of hybrid operators, Appl. Math. Comput. 271 (2015) 893-904. [SCI Impact Factor 2.300].
  2. H. Karsli, P. N. Agrawal and Meenu Goyal, General Gamma type operators based on q-integers, Appl. Math. Comput. 251 (2015) 564-575. [SCI Impact Factor 2.300].
  3. P. N. Agrawal , H. Karsli and Meenu Goyal, Szasz-Baskakov type operators based on q-integers, J. Inequal. Appl., 441 (2014) 1-18. [SCI Impact Factor 0.966].
  4. P. N. Agrawal and Meenu Goyal, Generalized Baskakov Kantorovich Operators, Fiolmat, 31 (19) (2017) 6131-6151. [SCI Impact Factor 0.635].
  5. V. Gupta, Th M. Rassias, P. N. Agrawal, Meenu Goyal, Approximation with certain genuine hybrid operators, Filomat 32 (6) (2018) . [SCI Impact Factor 0.635].
  6. A. Kajla, N. Ispir, P. N. Agrawal and Meenu Goyal, q-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables, Appl. Math. Comput., 275 (2016) 372-385. [SCI Impact Factor 2.300].
  7. Meenu Goyal and P. N. Agrawal, Blending type approximation by complex Szasz-Durrmeyer-Chlodowsky operators in compact disks, Math. Slovaca 69 (2019), 1077-1088 [SCI Impact Factor 0.462].
  8. Arun Kajla, S. A. Mohiuddine, A. Alotaibi, Meenu Goyal, and K. K. Singh, Approximation by θ-Baskakov–Durrmeyer-Type hybrid operators, Iran. J. Sci. Technol. Trans. A Sci., 44 (2020) 1111-1118, [SCI Impact Factor 0.875].
  9. Meenu Goyal and A. Kajla, Blending-type approximation by generalized Lupaş–Durrmeyer-type operators, Bol. Soc. Mat., 25(3)(2019), 551-566. [SCI Impact Factor 0.79].
  10. A. Kajla, S. A. Mohiuddine, A. Alotaibi, Meenu Goyal and K. K. Singh, Approximation by ϑ-Baskakov–Durrmeyer-type hybrid operators, Iran. J. Sci. Technol. Trans. A, 44(2020), 1111–1118. [SCI Impact Factor 1.194].
  11. Meenu Goyal, Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators, Math. Methods Appl. Sci., (2022), 1-10. [SCI Impact Factor 2.86].
  12. B. K. Grewal and Meenu Goyal, Approximation by a family of Summation-Integral type operators preserving linear functions, Filomat, 36(16) (2022), 5563-5572. [SCI Impact Factor 0.988].
  13. Meenu Goyal, Reconstruction of Szasz-Mirakyan operators preserving exponential type functions, Filomat, 37(2) (2023). [SCI Impact Factor 0.988].
  14. J. Kaur and Meenu Goyal, A note on α-Baskakov Durrmeyer type operators, Rocky Mt. J. Math. (accepted). [SCI Impact Factor 0.813].

Journals (Non-SCIE)

  1. Meenu Goyal and P. N. Agrawal, Bezier variant of the generalized Baskakov-Kantorovich operators, Boll. Dell’Unione. Mat. Ital., 8 (4) (2016) 229-238.
  2. Meenu Goyal, A. Kajla, P. N. Agrawal and Serkan Araci, Approximation by bivariate Bernstein- Durrmeyer operators on a Triangle, Appl. Math. Inf. Sci. 11 (2017) 1-10.
  3. Meenu Goyal and P. N. Agrawal, Bezier variant of the Jakimovski–Leviatan–Paltanea operators based on Appell polynomials, Ann Univ Ferrara, 63 (2) (2017) 289-302.
  4. A. Kajla and Meenu Goyal, Modified Bernstein–Kantorovich operators for functions of one and two variables, Rend. Circ. Mat. Palermo, II, 67 (2) (2017) 379-395.
  5. Meenu Goyal and Arun Kajla, Blending-type approximation by generalized Lupas-type operators, Bol. Soc. Mat. Mex, (2017) DOI 10.1007/s40590-017-0178-2, 1-17.
  6. P. N. Agrawal , Meenu Goyal and A. Kajla, q-Bernstein-Schurer-Kantorovich type operators, Boll. Dell’Unione. Mat. Ital., 8 (3) (2016) 169-180.
  7. A. Kajla and Meenu Goyal, Blending type approximation by Bernstein-Durrmeyer type operators, Mat. Vesn., 70 (1) (2018) 40-54.
  8. A. Kajla, S. Araci, Meenu Goyal and M. Acikgoz, Generalized szász-kantorovich type operators, CMA, 10(3)(2019), 403-413.
  9. A. Kajla and Meenu Goyal, Generalized Bernstein–Durrmeyer operators of blending type, Afr. Mat., 30(7)(2019), 1103-1118.
  10. J. Kaur and Meenu Goyal, Approximation properties of Durrmeyer-variant of Lupas type operators, Ann. Univ. Ferrara, (2022) 1-19, DOI 10.1007/s11565-022-00434-5.
  11. J. Kaur and Meenu Goyal, On α-Bezier curves and surfaces, Boll. Unione. Mat. Ital., (2022), DOI 10.1007/s40574-022-00341-9.

Book Chapter

  1. P. N. Agrawal and Meenu Goyal, Bivariate extension of linear positive operators: Mathematical Analysis, Approximation Theory and Their Applications, Th. M. Rassias and V. Gupta (Eds.), Chapter 2, 111 (2016) 978-3- 319-31279- 8 (Springer).

International Conferences

  1. Meenu Goyal and P. N. Agrawal, Degree of approximation by certain genuine hybrid operators,; Presented in International conference on recent trends in mathematical analysis and its applications (ICRTMAA-2014) on 21 - 23 December, 2014 organized by IIT Roorkee, Roorkee.
  2. Meenu Goyal and P. N. Agrawal, Bezier variant of the Jakimovski–Leviatan–Paltanea operators based on Appell polynomials,; Presented in International conference on modern mathematical methods and high performance in computing in science and technology (M3HPCST-2015)" on 27 -29 December 2015, organized by Raj Kumar Goel Institute of Technology, Ghaziabad, India.

National Conferences

  1. Participated in the conference "National conference on Recent development in Mathematics with their application" held at Govt. (P.G.) College for Women Bhodia Khera, Fatehabad. India from 15-17th Mar 2012.

Achievement, Awards and Recognitions

  • 2011: Qualified GATE with all India rank 160.
  • 2012: Qualified CSIR-NET (JRF and NET) in Mathematical Sciences with all India Rank 42.
  • Got sixth position in graduation at University level.
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