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<p>In this paper, we investigate a class of q-convex functions that generalizes the classical convex functions by incorporating <i>q</i>-calculus and subordination to the q-exponential function. The primary objective is to determine sharp bounds for the initial coefficients, the Fekete–Szegö functional, coefficient differences, and certain orders of the Toeplitz determinant associated inverse of function in the class mentioned.</p>

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Fekete–Szegő functional and coefficient problems for the inverse of q-convex functions associated with the q-exponential function

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Karri Sanjay Kumar

摘要

In this paper, we investigate a class of q-convex functions that generalizes the classical convex functions by incorporating q-calculus and subordination to the q-exponential function. The primary objective is to determine sharp bounds for the initial coefficients, the Fekete–Szegö functional, coefficient differences, and certain orders of the Toeplitz determinant associated inverse of function in the class mentioned.