Dr. Meenu Rani

Associate Professor

Specialization

Approximation Theory

Email

meenu_rani@thapar.edu

Specialization

Approximation Theory

Email

meenu_rani@thapar.edu

Dr. Meenu Rani is working as an Associate Professor in the Department of Mathematics (DOM), 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 22 SCI research papers. She has guided 6 Master’s students. Currently, she is guiding 3 research scholars and one scholar has completed PhD under her guidance. She has taught various subjects namely Calculus for Engineers, Real Analysis, Calculus, Numerical Analysis, Complex Analysis, and Topology to UG and PG students.

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 2011
  • Bachelor of Arts (B. A.) (subjects: English, Hindi, Economics, Mathematics) from Kurukshetra University, Haryana, India, in 2009.

Experience: Total Teaching Experience: 9 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 – April 2025: Assistant Professor, Department of Mathematics, TIET, Patiala.
  • April 2025 – Till now: Associate Professor, Department of Mathematics, TIET, Patiala.

Teaching Interests:

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

Research Interest :

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

Research Projects

  • A project entitled “Function Approximation and Generalized Bezier Curves Generated by Some Positive Linear Operators” funded by NBHM-DAE ( 2021-24) Completed.

Publications:

Journals (SCIE)

  1. 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].
  2. 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].
  3. 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].
  4. 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].
  5. P. N. Agrawal and Meenu Goyal, Generalized Baskakov Kantorovich Operators, Fiolmat, 31 (19) (2017) 6131-6151. [SCI Impact Factor 0.635].
  6. V. Gupta, Th M. Rassias, P. N. Agrawal, Meenu Goyal, Approximation with certain genuine hybrid operators, Filomat 32 (6) (2018) . [SCI Impact Factor 0.8].
  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. 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].
  9. 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].
  10. Meenu Goyal, Approximation properties of complex genuine α–Bernstein-Durrmeyer operators, Math. Methods Appl. Sci., (2022), 1-10. [SCI Impact Factor 2.86].
  11. 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 0.8].
  12. Meenu Goyal, Reconstruction of Szasz-Mirakyan operators preserving exponential type functions, Filomat, 37(2) (2023). [SCI Impact Factor 0.8].
  13. J. Kaur and Meenu Goyal, A note on α-Baskakov Durrmeyer type operators, Rocky Mt. J. Math., 53(5) (2023), 1511-1524. [SCI Impact Factor 0.813].
  14. J. Kaur and Meenu Goyal, Approximation properties of bivariate extension of blending type operators, Filomat, 37(29) (2023), 9945-9959. [SCI Impact Factor 0.8].
  15. B. K. Grewal and Meenu Goyal, Difference approximation of positive linear operators on unit square, Maejo Int. J. Sci. Technol, 17(1) (2023), 81-95. [SCI Impact Factor 0.7].
  16. J. Kaur and Meenu Goyal , q-Bézier Curves with Shifted Nodes, Iran. J. Sci., (2024), 1-10. [SCI Impact Factor 1.5]
  17. H. Kaur and Meenu Rani Goyal, New generalized blended trigonometric Bézier curves with one shape parameter, Filomat, 38(2) (2024), 705-725. [SCI Impact Factor 0.8].
  18. J. Kaur, Meenu Goyal and K. J. Ansari, Numerical and theoretical estimations of a generalized form of modified α -Bernstein–Kantorovich operators , Comput. Appl. Math., 44(5) (2025), 1-22. [SCI Impact Factor 2.6].
  19. H. Kaur and Meenu Rani Goyal, Convergence of α-Bernstein-Durrmeyer operators about a collection of measures, Math. Slovaca, 75(1) (2025), 129-142. [SCI Impact Factor 0.9].
  20. H. Kaur and Meenu Rani Goyal, Approximation properties for difference of positive linear operators, Filomat, 39(25) (2025), 8709-8723. [SCI Impact Factor 0.9].
  21. Meenu Rani, M. Herzog and B. K. Grewal, Some remarks about the convergence of composition operators, J. Inequal. Appl, 2025 (1) (2025), 1-15. [SCI Impact Factor 1.8].
  22. J. Kaur, Meenu Goyal and K.J. Ansari et al., Fractional α-Bernstein-Kantorovich operators of order β: A new construction and application in signal processing, Comp. Appl. Math., 45 (230) (2026), 1-27. [SCI Impact Factor 0.631].

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.
  12. Meenu Goyal and A. Kajla, Blending type approximation by generalized Lupaş-Durrmeyer type operators, Bol. Soc. Mat. Mex., 25(3) (2019), 551-566.
  13. Meenu Goyal and P. N. Agrawal, Approximation properties of bivariate generalized Baskakov-Kantorovich operators, IJNAA, 14(10) (2023), 361-375.
  14. J. Kaur and Meenu Goyal, Order improvement for the sequence of alpha Bernstein Paltanea operators, IJNAA, 14(9) (2023), 47-64.
  15. J. Kaur and Meenu Goyal, On α-Bezier curves and surfaces , Boll. Unione. Mat. Ital., 16(3) (2023), 459-470.
  16. B. K. Grewal and Meenu Goyal, Statistical convergence of q-analogue of Aldaz-Kounchev-Render operators, Dolomit Res Notes Ap, 17(1) (2014), 40-49.
  17. B. K. Grewal and Meenu Goyal, Approximation by semi-exponential Post-Widder operators, Annali dell' Università di Ferrara, 70 (2024), 1465-1477.
  18. J. Kaur, Meenu Goyal and K. Ansari, Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators, FUJMA, 8(4) (2025), 212-224.
  19. B. K. Grewal and Meenu Rani, King-type modification of Páltanea–Bernstein–Durrmeyer type operators , Arab. J. Math, 14(3) (2025), 1-10.
  20. J. Kaur, Meenu Goyal and Khursheed J Ansari, A generalization of modified α -Bernstein operators and its related estimations and errors , Arab. J. Math, 13(3) (2024), 521-531.
  21. J. Kaur and Meenu Goyal, Hyers-Ulam stability of some positive linear operators, Stud. Univ. Babeş-Bolyai, Math, 70(1) (2025). [ESCI].

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.
  3. H. Kaur and Meenu Goyal,; Pointwise Convergence of α-Bernstein-Durrmeyer Operators with respect to arbitrary Measures,: Presented in Second International Workshop: Constructive Mathematical Analysis (IWCMA-2023) held on 06-08 July 2023, organized by Selcuk University, Konya-Turkey.
  4. H. Kaur and Meenu Goyal,; Quantiatative Estimates for Differences of Positive Linear Approximation Operators,: Presented in International conference on non-linear Analysis and computational techniques (ICNACT-2024) held on 08-10 August 2024, organized by VIT Bhopal, India.

Achievement, Awards and Recognitions

  • 2023: DST travel Grant to attend an international workshop in Turkey.
  • 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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