| Summary: | In this article, by using the concept of the quantum (or <i>q</i>-) calculus and a general conic domain <inline-formula> <math display="inline"> <semantics> <msub> <mo>Ω</mo> <mrow> <mi>k</mi> <mo>,</mo> <mi>q</mi> </mrow> </msub> </semantics> </math> </inline-formula>, we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a <i>q</i>-Bernardi integral operator.
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