Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, , 109 - 114, 29.09.2020
https://doi.org/10.32323/ujma.652513

Öz

Kaynakça

  • [1] M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, Tamkang J. Math, 41 (4), 2010, 353–359.
  • [2] P. Cerone, S.S. Dragomir and J. Roumeliotis, Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstratio Math., 32 (4) (1999), 697–712.
  • [3] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  • [4] D.Y. Hwang, Some Inequalities for n-time Differentiable Mappings and Applications, Kyung. Math. Jour., 43 (2003), 335–343.
  • [5] İ. İşcan, S. Turhan, S. Maden, Some Hermite-Hadamard-Fejer type inequalities for Harmonically convex functions via Fractional Integral, New Trends Math. Sci., 4 (2) (2016), 1-10.
  • [6] İ. İşcan, M. Kunt, Hermite-Hadamard-Fejer type inequalities for quasi-geometrically convex functions via fractional integrals, J. Math., Volume 2016, Article ID 6523041, 7 pages.
  • [7] İ. İşcan, New refinements for integral and sum forms of H¨older inequality, J. Inequal. Appl., (2019) 2019:304, 11 pages.
  • [8] W.D. Jiang, D.W. Niu, , Y. Hua and F. Qi, Generalizations of Hermite-Hadamard inequality to n-time differentiable function which are s-convex in the second sense, Analysis (Munich), 32 (2012), 209–220.
  • [9] H. Kadakal, Hermite-Hadamard type inequalities for trigonometrically convex functions, Sci. Stud. Res. Ser. Math. Info., 28(2), (2018), 19-28.
  • [10] S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, Some new integral inequalities for n-times differentiable convex and concave functions. J. Non. Sci. Appl., 10 12,(2017), 6141-6148.
  • [11] S. Özcan, Some Integral Inequalities for Harmonically (a; s)-Convex Functions, J. Funct. Spaces, 2019, Article ID 2394021, 8 pages (2019).
  • [12] S. Özcan, and İ. İşcan, Some new Hermite-Hadamard type inequalities for s-convex functions and their applications, J. Inequal. Appl., Article number: 2019:201 (2019).
  • [13] J.E. Pecaric, F. Porschan and Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press Inc., 1992.
  • [14] S.H. Wang, B.Y. Xi and F. Qi, Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex, Analysis (Munich), 32 (2012), 247–262.
  • [15] B.Y. Xi and F. Qi, Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means, J. Funct. Spaces Appl., 2012, http://dx.doi.org/10.1155/2012/980438.

Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions

Yıl 2020, , 109 - 114, 29.09.2020
https://doi.org/10.32323/ujma.652513

Öz

In this manuscript, by using an integral identity together with both the Hölder, Hölder-İşcan and the Power-mean integral inequalities we obtain several new inequalities for $n$-time differentiable trigonometrically convex functions.                                                                                                                                                                                                                                                                                                                                                                                                                 

Kaynakça

  • [1] M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, Tamkang J. Math, 41 (4), 2010, 353–359.
  • [2] P. Cerone, S.S. Dragomir and J. Roumeliotis, Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstratio Math., 32 (4) (1999), 697–712.
  • [3] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  • [4] D.Y. Hwang, Some Inequalities for n-time Differentiable Mappings and Applications, Kyung. Math. Jour., 43 (2003), 335–343.
  • [5] İ. İşcan, S. Turhan, S. Maden, Some Hermite-Hadamard-Fejer type inequalities for Harmonically convex functions via Fractional Integral, New Trends Math. Sci., 4 (2) (2016), 1-10.
  • [6] İ. İşcan, M. Kunt, Hermite-Hadamard-Fejer type inequalities for quasi-geometrically convex functions via fractional integrals, J. Math., Volume 2016, Article ID 6523041, 7 pages.
  • [7] İ. İşcan, New refinements for integral and sum forms of H¨older inequality, J. Inequal. Appl., (2019) 2019:304, 11 pages.
  • [8] W.D. Jiang, D.W. Niu, , Y. Hua and F. Qi, Generalizations of Hermite-Hadamard inequality to n-time differentiable function which are s-convex in the second sense, Analysis (Munich), 32 (2012), 209–220.
  • [9] H. Kadakal, Hermite-Hadamard type inequalities for trigonometrically convex functions, Sci. Stud. Res. Ser. Math. Info., 28(2), (2018), 19-28.
  • [10] S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, Some new integral inequalities for n-times differentiable convex and concave functions. J. Non. Sci. Appl., 10 12,(2017), 6141-6148.
  • [11] S. Özcan, Some Integral Inequalities for Harmonically (a; s)-Convex Functions, J. Funct. Spaces, 2019, Article ID 2394021, 8 pages (2019).
  • [12] S. Özcan, and İ. İşcan, Some new Hermite-Hadamard type inequalities for s-convex functions and their applications, J. Inequal. Appl., Article number: 2019:201 (2019).
  • [13] J.E. Pecaric, F. Porschan and Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press Inc., 1992.
  • [14] S.H. Wang, B.Y. Xi and F. Qi, Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex, Analysis (Munich), 32 (2012), 247–262.
  • [15] B.Y. Xi and F. Qi, Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means, J. Funct. Spaces Appl., 2012, http://dx.doi.org/10.1155/2012/980438.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Kerim Bekar 0000-0002-7531-9345

Yayımlanma Tarihi 29 Eylül 2020
Gönderilme Tarihi 28 Kasım 2019
Kabul Tarihi 14 Eylül 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Bekar, K. (2020). Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions. Universal Journal of Mathematics and Applications, 3(3), 109-114. https://doi.org/10.32323/ujma.652513
AMA Bekar K. Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions. Univ. J. Math. Appl. Eylül 2020;3(3):109-114. doi:10.32323/ujma.652513
Chicago Bekar, Kerim. “Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions”. Universal Journal of Mathematics and Applications 3, sy. 3 (Eylül 2020): 109-14. https://doi.org/10.32323/ujma.652513.
EndNote Bekar K (01 Eylül 2020) Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions. Universal Journal of Mathematics and Applications 3 3 109–114.
IEEE K. Bekar, “Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions”, Univ. J. Math. Appl., c. 3, sy. 3, ss. 109–114, 2020, doi: 10.32323/ujma.652513.
ISNAD Bekar, Kerim. “Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions”. Universal Journal of Mathematics and Applications 3/3 (Eylül 2020), 109-114. https://doi.org/10.32323/ujma.652513.
JAMA Bekar K. Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions. Univ. J. Math. Appl. 2020;3:109–114.
MLA Bekar, Kerim. “Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions”. Universal Journal of Mathematics and Applications, c. 3, sy. 3, 2020, ss. 109-14, doi:10.32323/ujma.652513.
Vancouver Bekar K. Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions. Univ. J. Math. Appl. 2020;3(3):109-14.

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