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Certain inequalities of Kober and Lazarevic type


Affiliations
1 Department of Mathematics, K. K. M. College, Manwath 431505, India
2 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India
     

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In this work, the authors present new lower and upper bounds for cos x and cosh x, thus improving some generalized inequalities of Kober and Lazarevic type.


Keywords

Lazarevi’c Inequality, Kober’s Inequality, Sharp Bounds, Exponential Bounds, Hyperbolic Cosine.
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  • Certain inequalities of Kober and Lazarevic type

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Authors

Yogesh J. Bagul
Department of Mathematics, K. K. M. College, Manwath 431505, India
Satish K. Panchal
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India

Abstract


In this work, the authors present new lower and upper bounds for cos x and cosh x, thus improving some generalized inequalities of Kober and Lazarevic type.


Keywords


Lazarevi’c Inequality, Kober’s Inequality, Sharp Bounds, Exponential Bounds, Hyperbolic Cosine.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F20737