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Some new Chebyshev type inequalities for functions whose derivatives belongs to \(L_{p}\) spaces

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Abstract

Several researchers have studied on widely known Chebyshev type inequalities that have an important place in the field of mathematical analysis. In this paper, we obtain some new Chebyshev type inequalities for functions whose derivatives belongs to \(L_{p}\) spaces similar to Pachpatte’s results. Our results are generalized version of Pachpatte’s results and these give some new estimations for Chebyshev functional.

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References

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Authors and Affiliations

  1. Department of Mathematics, K. K. Education Faculty, Ataturk University, Kampus, 25640, Erzurum, Turkey

    M. Emin Özdemir

  2. Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey

    Erhan Set

  3. Department of Mathematics, Faculty of Science and Letters, Ağrı İbrahim Çeçen University, 04100, Ağrı, Turkey

    Ahmet Ocak Akdemir

  4. Department of Mathematics, Faculty of Science and Arts, Düzce University, Konuralp Campus, Düzce, Turkey

    M. Zeki Sarıkaya

Authors
  1. M. Emin Özdemir
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  2. Erhan Set
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  3. Ahmet Ocak Akdemir
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  4. M. Zeki Sarıkaya
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Correspondence to Ahmet Ocak Akdemir.

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Özdemir, M.E., Set, E., Akdemir, A.O. et al. Some new Chebyshev type inequalities for functions whose derivatives belongs to \(L_{p}\) spaces. Afr. Mat. 26, 1609–1619 (2015). https://doi.org/10.1007/s13370-014-0312-5

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  • DOI: https://doi.org/10.1007/s13370-014-0312-5

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