Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A GENERALIZATION OF THE EXPONENTIAL INTEGRAL AND SOME ASSOCIATED INEQUALITIES

  • Nantomah, Kwara (Department of Mathematics, University for Development Studies, Navrongo Campus) ;
  • Merovci, Faton (Department of Mathematics, University of Mitrovica "Isa Boletini") ;
  • Nasiru, Suleman (Department of Statistics, University for Development Studies, Navrongo Campus)
  • Received : 2016.07.22
  • Accepted : 2017.01.20
  • Published : 2017.03.25
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Abstract

In this paper, a generalization of the exponential integral is given. As a consequence, several inequalities involving the generalized function are derived. Among other analytical techniques, the procedure utilizes the $H{\ddot{o}}lder^{\prime}s$ and Minkowskis inequalities for integrals.

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References

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with formulas, Graphic and Mathematical Tables, Dover Publications, Inc., New York, (1965).
  2. P. Agarwal, A Study of New Trends and Analysis of Special Function, LAP LAMBERT Academic Publishing, 2013.
  3. R. Diaz, and E. Pariguan, On hypergeometric functions and Pochhammer k- symbol, Divulgaciones Matemticas, 15(2)(2007), 179-192.
  4. A. Laforgia and P. Natalini, Turan-type inequalities for some special functions, J. Ineq. Pure Appl. Math., 7(1)(2006), Art. 32.
  5. M. S. Milgram, The generalized integro-exponential function, Maths Comput., 44(170)(1985), 443-458. https://doi.org/10.1090/S0025-5718-1985-0777276-4
  6. C. Mortici, Turan-type inequalities for the Gamma and Polygamma functions, Acta Universitatis Apulensis, 23(2010),117-121.
  7. W. T. Sulaiman, Turan inequalities for the exponential integral functions, Communications in Optimization Theory, 1(1)(2012), 35-41.