Öz
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.
Anahtar Kelimeler
Fekete-Szegö İnequality (𝑝 Starlike Functions Convex Functions Complex Order
Kaynakça
- 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.
Öz
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.
Anahtar Kelimeler
Fekete-Szegö Inequality Starlike Functions Convex Functions Complex Order
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik / Mathematics |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2020 |
| Gönderilme Tarihi | 7 Şubat 2020 |
| Kabul Tarihi | 8 Mart 2020 |
| Yayımlandığı Sayı | Yıl 2020 Cilt: 10 Sayı: 2 |