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Research Article | Open Access

Generalized q-convex functions characterized by q-calculus

Aisha M. Alqahtani1, Rashid Murtaza2, Saba Akmal2,  Adnan2( ), Ilyas Khan3
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, Mohi-Ud-Din Islamic University, Nerian Sharif, AJK, Pakistan
Department of Mathematics, College of Science, Al-Zulfi Majmaah University, Al-Majmaah 11952, Saudi Arabia
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Abstract

The objective of the current examination is to present new sub-classes of q-convex and q-starlike functions inside E = { z ∈ C : | z | < 1 } , by q-difference operator. We determined connections of these classes and acquired a few fundamental properties, for instance, inclusion relation, subordination properties and q-limits on real part.

Keywords

analytic functionssecond-order q-differentialconvolutionsubordinationq-number
CLC number: 30C45, 30C10

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9385-9399
DOI: 10.3934/math.2023472

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Cite this article:
Alqahtani AM, Murtaza R, Akmal S, et al. Generalized q-convex functions characterized by q-calculus. AIMS Mathematics, 2023, 8(4): 9385-9399. https://doi.org/10.3934/math.2023472

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Received: 22 January 2022
Revised: 27 April 2022
Accepted: 24 May 2022
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)