Dr. Ismail Nikoufar

Associate Professor
Department of Mathematics, Payame Noor University, Iran


Highest Degree
Ph.D. in Mathematics from Payame Noor University, Tehran, Iran

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Area of Interest:

Mathematics
Operator Theory
Functional Analysis
Functional Differential Equations
Matrix Theory

Selected Publications

  1. Nikoufar, I., 2022. Some estimations for the generalized relative operator entropy. Bull. Malays. Math. Sci. Soc., 45: 3385-3400.
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  2. Nikoufar, I., 2022. Lipschitz stability of n-cubic functional equations and applications. Miskolc Math. Notes, 23: 389-399.
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  3. Nikoufar, I., 2022. Almost generalized quadratic functions of three variables in Lipschitz spaces. Jordan J. Math & Stat., 15: 1049-1063.
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  4. Nikoufar, I. and M.K. Arpatapeh, 2022. Sharp bounds for the Tsallis relative operator entropy. Rocky Mountain J. Math., 52: 1461-1471.
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  5. Nikoufar, I. and D. Saeedi, 2022. Operator inequalities associated with the kantorovich type inequalities for s-convex functions. Indian J. Pure Appl. Math., Vol. 53. 10.1007/s13226-022-00340-8.
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  6. Moosapoor M. and I. Nikoufar, 2022. Some properties and criteria for sub-chaotic C0-semigroups. Jordan J. Math & Stat., 15: 1065-1076.
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  7. Nikoufar, I., 2021. Some properties of the tsallis relative operator φ-entropy. J. Math. Phys. Anal. Geom., 17: 216-232.
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  8. Nikoufar, I., 2021. Multivariate extensions of Lieb’s concavity theorem. Ann. Henri Poincaré, 22: 1837-1851.
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  9. Nikoufar, I., 2021. A new characterization of the operator perspective. Linear Multilinear Algebra, 10.1080/03081087.2021.1877247.
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  10. Nikoufar, I. and Z. Yousefzadeh, 2021. Inequalities for the generalized Tsallis relative operator entropy. Filomat, 34: 2713-2721.
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  11. Nikoufar, I. and D. Saeedi, 2021. An operator version of the Jensen inequality for s-convex functions. Complex Anal. Oper. Theory, Vol. 15. 10.1007/s11785-021-01139-x.
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  12. Khani, R., S. Najafzadeh, A. Ebadian and I. Nikoufar, 2021. The n-valent convexity of frasin integral operators. Ukr. Math. J., 73: 323-328.
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  13. Nikoufar, I., 2020. Convex functions on compact C∗ -convex sets. Wavelets Linear Algebra, 7: 57-62.
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  14. Nikoufar, I., 2020. Almost tri-cubic functions with Lipschitz condition. Tbilisi Math. J., 13: 207-216.
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  15. Nikoufar, I., 2020. 3-Quadratic functions in Lipschitz spaces. Contemp. Math., 1: 127-133.
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  16. Nikoufar, I. and M. Fazlolahi, 2020. Equivalence relations among inequalities for some relative operator entropies. Positivity, 24: 1503-1518.
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  17. Nikoufar, I. and D. Saeedi, 2020. Some inequalities for P-class functions. Filomat, 34: 4555-4566.
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  18. Nikoufar, I., 2019. Stability of multi-quadratic functions in Lipschitz spaces. Iran. J. Sci. Technol. Trans. A: Sci., 43: 621-625.
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  19. Nikoufar, I., 2019. Stability of multi-cubic functions via Lipschitz criteria. J. Nonlinear Funct. Anal., Vol. 2019. 10.23952/jnfa.2019.6.
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  20. Nikoufar, I., 2019. On generalized notions of derivations. Iran. J. Sci. Technol. Trans. A: Sci., 43: 2607-2611.
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  21. Nikoufar, I., 2019. Improved operator inequalities of some relative operative entropies. Positivity, (In Press). 10.1007/s11117-019-00680-6.
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  22. Nikoufar, I., 2019. Convexity of parameter extensions of some relative operator entropies with a perspective approach. Glasgow Math. J., (In Press). 10.1017/S0017089517000131.
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  23. Nikoufar, I. and M. Shamohammadi, 2019. Multivariate perspectives. Math. Rep., 21: 85-91.
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  24. Nikoufar, I., 2018. Bounds of some relative operator entropies in a general form. Filomat, 32: 5105-5114.
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  25. Nikoufar, I., 2018. Behavior of bi-cubic functions in Lipschitz spaces. Lobachevskii J. Math., 39: 803-808.
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  26. Nikoufar, I., 2018. A correction to approximation of generalized homomorphisms in quasi-Banach algebras. Miskolc Math. Notes, 19: 423-430.
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  27. Nikoufar, I. and M. Shamohammadi, 2018. The converse of the Loewner-Heinz inequality via perspective. Linear Multilinear Algebra, 66: 243-249.
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  28. Nikoufar, I. and M. Shamohammadi, 2018. Generalized perspectives of functions of several variables. Math. Commun., 23: 1-8.
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  29. Nikoufar, I., 2017. Some properties of the parametric relative operator entropy. J. New Res. Math., 2: 79-84.
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  30. Nikoufar, I., 2017. Functions near some (α1, α2)-double Jordan derivations in p-Banach algebras. Bollettino dell'Unione Matematica Italiana, 10: 191-198.
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  31. Nikoufar, I., 2017. Approximate tri-quadratic functional equations via Lipschitz conditions. Math. Bohemica, 142: 337-344.
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  32. Nikoufar, I. and M. Alinejad, 2017. Bounds of generalized relative operator entropies. Math. Inequalities Applic., 20: 1067-1078.
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  33. Chen, Z., Z. Ma, I. Nikoufar and S.M. Fei, 2017. Sharp continuity bounds for entropy and conditional entropy. Sci. China Phys. Mech. Astron., Vol. 60. 10.1007/s11433-016-0367-x.
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  34. Nikoufar, I., A. Ebadian and M.E. Eshaghi, 2016. (θ,φ)∗-derivations on complex semi-prime Banach ∗-algebras. An. Stiint. Univ. Al. I. Cuza Iasi Mat. (N.S.), 62: 461-466.
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  35. Nikoufar, I., 2016. Refined almost double derivations and Lie *-double derivations. Miskolc Mathematical Notes, 16: 1063-1071.
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  36. Nikoufar, I., 2016. Operator versions of Shannon type inequality. Math. Inequalities Applic., 19: 359-367.
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  37. Nikoufar, I., 2016. Lipschitz criteria for bi-quadratic functional equations. Commun. Korean Math. Soc., 31: 819-825.
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  38. Nikoufar, I., 2016. A perspective approach for characterization of Lieb concavity theorem. Demonstratio Mathematica, 49: 463-469.
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  39. Nikoufar, I., 2016. A note on non-unital homomorphisms on C∗-convex sets in ∗-rings. Acta Univ. Matthiae Belii Ser. Math., 24: 21-24.
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  40. Nikoufar, I., 2015. Superstability of m-additive maps on complete non-Archimedean spaces. Sahand Commun. Math. Anal., 2: 19-25.
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  41. Nikoufar, I., 2015. Quartic functional equations in Lipschitz spaces. Rend. Circolo Matematico Palermo (1952-), 64: 171-176.
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  42. Nikoufar, I., 2015. Lipschitz approximation of the n-quadratic functional equations. Mathematica, 57: 67-74.
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  43. Nikoufar, I., 2015. Jordan (θ, φ)-derivations on Hilbert C*-modules. Indagationes Mathematicae, 26: 421-430.
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  44. Nikoufar, I., 2015. A note on hamel basis of hilbert spaces. Acta Universitatis Apulensis, 2015: 107-110.
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  45. Nikoufar, I. and T.M. Rassias, 2015. Approximately algebraic tensor products. Miskolc Mathematical Notes, 16: 361-368.
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  46. Saeedi, D., I. Nikoufar and H. Saiflu, 2014. Comment on a uniform boundedness theorem for locally convex cones[W. Roth, Proc. Amer. Math. Soc. 126 (1998), 1973-1982]. Methods Funct. Anal. Topol., 20: 292-295.
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  47. Nikoufar, I., 2014. On operator inequalities of some relative operator entropies. Adv. Math., 259: 376-383.
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  48. Nikoufar, I. and T. Rassias, 2014. θ-centralizers on semiprime banach *-algebras. Ukrainian Math. J., 66: 300-310.
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  49. Ebadian, A., N. Ghobadipour, I. Nikoufar and M.E. Gordji, 2014. Approximation of the cubic functional equations in Lipschitz spaces. Anal. Theory Applic., 30: 354-362.
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  50. Nikoufar, I., A. Ebadian and M.E. Gordji, 2013. The simplest proof of Lieb concavity theorem. Adv. Math., 248: 531-533.
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  51. Nikoufar, I., 2013. Generalized Jordan derivations on Frechet algebras. Funct. Anal. Approximate Comput., 5: 59-66.

  52. Ebadian, A., I. Nikoufar, T.M. Rassias and N. Ghobadipour, 2012. Stability of generalized derivations on hilbert c*-modules associated with a pexiderized cauchy-jensen type functional equation. Acta Math. Sci., 32: 1226-1238.
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  53. Ebadian, A., I. Nikoufar and M.E. Gordji, 2012. Nearly (θ1, θ2, θ3, φ)-derivations on C∗-modules. Int. J. Geom. Methods Mod. Phys., 9: 1-12.

  54. Ebadian, A., I. Nikoufar and M.E. Gordji, 2011. Perspectives of matrix convex functions. Proc. Natl. Acad. Sci., 108: 7313-7314.
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