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This paper refines the Turán-type inequality in rational functions, showing implications of earlier findings.
This paper extends as a lemma an auxiliary result obtained by Singh and Chanam. Using it, we prove a refinement of the Turán-type inequality for rational functions obtained recently by Akhter et al. Next, using examples, we discuss the result of Mir et al.
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Singha et al. (2025) studied this question.
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