Abstract
This paper reveals a new relation between the two functions \( A_{p}\left( x\right) =\)\(\left( \int _{0}^{x}e^{-t^{p}}dt\right) /x\) and \(B_{q}\left( x\right) =\)\(1-\left( 1-e^{-qx^{p}}\right) /\left( q\left( p+1\right) \right) \) . At the same time, we study the upper and lower bounds for the function \(A_{p}\left( x\right) /B_{\alpha }\left( x\right) \) in another sense.
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This paper is supported by the Natural Science Foundation of China Grants no. 11471285 and the Natural Science Foundation of China Grants no. 61772025.
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Zhu, L. New bounds for the function involving incomplete gamma function. RACSAM 113, 901–908 (2019). https://doi.org/10.1007/s13398-018-0519-7
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DOI: https://doi.org/10.1007/s13398-018-0519-7