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On q‐Convex Functions Defined by the q‐Ruscheweyh Derivative Operator in Conic Regions

Author

Listed:
  • Mehwish Jabeen
  • Sarfraz Nawaz Malik
  • Shahid Mahmood
  • S. M. Jawwad Riaz
  • Md. Shajib Ali

Abstract

The core objective of this article is to introduce and investigate a new class β−UCVqλA,B of convex functions associated with the conic domain defined by the Ruscheweyh q‐differential operator. Many interesting properties such as sufficiency criteria, coefficient bounds, partial sums, and radius of convexity of order α for the functions of the said class are investigated here.

Suggested Citation

  • Mehwish Jabeen & Sarfraz Nawaz Malik & Shahid Mahmood & S. M. Jawwad Riaz & Md. Shajib Ali, 2022. "On q‐Convex Functions Defined by the q‐Ruscheweyh Derivative Operator in Conic Regions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2681789
    DOI: 10.1155/2022/2681789
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    References listed on IDEAS

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