| Summary: | In this paper, we discuss and introduce a new study using an integral operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>w</mi><mrow><mi>k</mi><mo>,</mo><mi>μ</mi></mrow><mi>m</mi></msubsup></mrow></semantics></math></inline-formula> in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination and superordination for a new formula generalized integral operator. In addition, certain sandwich theorems were found. The differential subordination theory’s features and outcomes are symmetric to those derived using the differential subordination theory.
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