Fekete-szegÖ inequalities for q-starlike and q-convex functions involving q-analogue of ruscheweyh-type differential operator

Soni A., Çetinkaya A.

Palestine Journal of Mathematics, cilt.11, sa.1, ss.541-548, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.541-548
  • Anahtar Kelimeler: Fekete-Szegö inequality, Q-convex functions, Q-starlike functions, Ruscheweyh-type q-differential operator
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In the present paper, the new generalized Ma-Minda type classes of q-starlike and q-convex functions are introduced by using Ruscheweyh-type q-differential operator. Denote by SRλq (φ) the class of q-starlike functions and CRλq (φ) the class of q-convex functions associated with Ruscheweyh-type q-differential operator, where φ is the function with positive real part. By making use of these classes, we obtain initial coefficient estimates and Fekete-Szegö inequalities for the classes SRλq (φ) and CRλq (φ), respectively.