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Fekete-Szegö inequality for classes of (p, q)-Starlike and (p, q)-convex functions

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, the new generalized classes of (p, q)-starlike and (p, q)-convex functions are introduced by using the (p, q)-derivative operator. Also, the (p, q)-Bernardi integral operator for analytic function is defined in the open unit disc \(\mathbb {U}=\left\{ z\in \mathbb {C}:|z|<1\right\} \). Our aim for these classes is to investigate the Fekete-Szegö inequalities. Moreover, Some special cases of the established results are discussed. Further, certain applications of the main results are obtained by applying the (p, q)-Bernardi integral operator.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

    H. M. Srivastava

  2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Republic of China

    H. M. Srivastava

  3. Mathematics Section, Women’s College, Aligarh Muslim University, Aligarh, 202002, India

    Nusrat Raza

  4. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Eman S. A. AbuJarad

  5. Department of Mathematics and Computer Science, Brandon University, 270 18th Street, Brandon, R7A 6A9, Canada

    Gautam Srivastava

  6. Research Center for Interneural Computing, China Medical University, Taichung, 40402, Taiwan, Republic of China

    Gautam Srivastava

  7. Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202002, India

    Mohammed H. AbuJarad

Authors
  1. H. M. Srivastava
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  2. Nusrat Raza
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  3. Eman S. A. AbuJarad
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  4. Gautam Srivastava
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  5. Mohammed H. AbuJarad
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Correspondence to Nusrat Raza.

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Srivastava, H.M., Raza, N., AbuJarad, E.S.A. et al. Fekete-Szegö inequality for classes of (p, q)-Starlike and (p, q)-convex functions. RACSAM 113, 3563–3584 (2019). https://doi.org/10.1007/s13398-019-00713-5

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  • DOI: https://doi.org/10.1007/s13398-019-00713-5

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