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Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order

Year 2020, , 1247 - 1253, 01.06.2020

Feyza Yatkın Ekrem Kadıoğlu

https://doi.org/10.21597/jist.686462

Abstract

We have investigated Fekete-Szegö inequality in the classes of (𝑝,𝑞)-starlike and (𝑝,𝑞)-convex functions of complex order defined in the disc 𝑈={𝑧∈ℂ:|𝑧|<1}. Our main theorems are also a generalization of the result obtained.

Keywords

Fekete-Szegö İnequality (𝑝 Starlike Functions Convex Functions Complex Order

References

  • Acar T, Aral A, Mohiuddine SA, 2016. On Kantorovich modification of (p, q)-Baskakov operators. J. Inequal. Appl. 13 pages. DOI: http://dx.doi.org/10.1186/s13660-016-1045-9.
  • Cetinkaya A, Kahramaner Y, Polatoglu Y, 2018. Fekete-Szegö inequalities for q-starlike and q-convex functions. Acta Univ. Apulensis (53): 55-64.
  • Chakrabarti R, Jagannathan R, 1991. A (p,q)-oscillator realization of two-parameter quantum algebras. J. Phys. A: Math. Gen. 24(13): 711-718.
  • Jackson FH, 1908. On q-functions and a certain difference operator. Trans. Royal Soc. Edinburgh. (46): 253-281.
  • Jagannathan R, Rao KS, 2006. Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series. arXiv:math/0602613v1: 1-16.
  • Ma WC, Minda D, 1992. A unified treatment of some special classes of univalent functions. Proc. Conf. On Complex Analysis, 157-169.
  • Miller SS, Mocanu PT, 2000. Differential Subordinations: Theory and Applications, Marcel Dekker, New York, USA.
  • Seoudy TM, Aouf MK, 2016. Coefficient estimates of new classes of q-starlike and q-convex functions of complex order. J. Math. Inequal. 10(1): 135-145.
  • Srivastava HM, Raza N, Abujarad ESA, Srivastava G, Abujarad MH, 2019. Fekete-Szegö inequality for classes of (p,q)-Starlike and (p,q)-Convex functions. RASCAM (113): 3563-3584.
  • Uçar HEÖ, 2016. Coefficient inequality for q-starlike functions. Appl. Math. Comput. (276): 122-126.

Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order

Year 2020, , 1247 - 1253, 01.06.2020

Feyza Yatkın Ekrem Kadıoğlu

https://doi.org/10.21597/jist.686462

Abstract

We have investigated Fekete-Szegö inequality in the classes of (𝑝,𝑞)-starlike and (𝑝,𝑞)-convex functions of complex order defined in the disc 𝑈={𝑧∈ℂ:|𝑧|<1}. Our main theorems are also a generalization of the result obtained.

Keywords

Fekete-Szegö Inequality Starlike Functions Convex Functions Complex Order

References

  • Acar T, Aral A, Mohiuddine SA, 2016. On Kantorovich modification of (p, q)-Baskakov operators. J. Inequal. Appl. 13 pages. DOI: http://dx.doi.org/10.1186/s13660-016-1045-9.
  • Cetinkaya A, Kahramaner Y, Polatoglu Y, 2018. Fekete-Szegö inequalities for q-starlike and q-convex functions. Acta Univ. Apulensis (53): 55-64.
  • Chakrabarti R, Jagannathan R, 1991. A (p,q)-oscillator realization of two-parameter quantum algebras. J. Phys. A: Math. Gen. 24(13): 711-718.
  • Jackson FH, 1908. On q-functions and a certain difference operator. Trans. Royal Soc. Edinburgh. (46): 253-281.
  • Jagannathan R, Rao KS, 2006. Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series. arXiv:math/0602613v1: 1-16.
  • Ma WC, Minda D, 1992. A unified treatment of some special classes of univalent functions. Proc. Conf. On Complex Analysis, 157-169.
  • Miller SS, Mocanu PT, 2000. Differential Subordinations: Theory and Applications, Marcel Dekker, New York, USA.
  • Seoudy TM, Aouf MK, 2016. Coefficient estimates of new classes of q-starlike and q-convex functions of complex order. J. Math. Inequal. 10(1): 135-145.
  • Srivastava HM, Raza N, Abujarad ESA, Srivastava G, Abujarad MH, 2019. Fekete-Szegö inequality for classes of (p,q)-Starlike and (p,q)-Convex functions. RASCAM (113): 3563-3584.
  • Uçar HEÖ, 2016. Coefficient inequality for q-starlike functions. Appl. Math. Comput. (276): 122-126.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Matematik / Mathematics
Authors

Feyza Yatkın This is me 0000-0002-9707-2494

Ekrem Kadıoğlu 0000-0002-0039-4930

Publication Date June 1, 2020
Submission Date February 7, 2020
Acceptance Date March 8, 2020
Published in Issue Year 2020

Cite

APA Yatkın, F., & Kadıoğlu, E. (2020). Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order. Journal of the Institute of Science and Technology, 10(2), 1247-1253. https://doi.org/10.21597/jist.686462
AMA Yatkın F, Kadıoğlu E. Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order. Iğdır Üniv. Fen Bil Enst. Der. June 2020;10(2):1247-1253. doi:10.21597/jist.686462
Chicago Yatkın, Feyza, and Ekrem Kadıoğlu. “Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order”. Journal of the Institute of Science and Technology 10, no. 2 (June 2020): 1247-53. https://doi.org/10.21597/jist.686462.
EndNote Yatkın F, Kadıoğlu E (June 1, 2020) Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order. Journal of the Institute of Science and Technology 10 2 1247–1253.
IEEE F. Yatkın and E. Kadıoğlu, “Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order”, Iğdır Üniv. Fen Bil Enst. Der., vol. 10, no. 2, pp. 1247–1253, 2020, doi: 10.21597/jist.686462.
ISNAD Yatkın, Feyza - Kadıoğlu, Ekrem. “Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order”. Journal of the Institute of Science and Technology 10/2 (June 2020), 1247-1253. https://doi.org/10.21597/jist.686462.
JAMA Yatkın F, Kadıoğlu E. Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order. Iğdır Üniv. Fen Bil Enst. Der. 2020;10:1247–1253.
MLA Yatkın, Feyza and Ekrem Kadıoğlu. “Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order”. Journal of the Institute of Science and Technology, vol. 10, no. 2, 2020, pp. 1247-53, doi:10.21597/jist.686462.
Vancouver Yatkın F, Kadıoğlu E. Fekete-Szegö Inequality for (𝒑,𝒒)-Starlike and (𝒑,𝒒)-Convex Functions of Complex Order. Iğdır Üniv. Fen Bil Enst. Der. 2020;10(2):1247-53.