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Year 2020, Volume: 24 Issue: 3, 487 - 493, 01.06.2020

Kerim Bekar

https://doi.org/10.16984/saufenbilder.672838

Abstract

References

  • K. Bekar, "Hermite-Hadamard type inequalities for trigonometrically P-functions", Comptes rendus de l’Academie bulgare des Sciences, 72(11), 2019.
  • S.S. Dragomir and R.P. "Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula", Appl. Math. Lett. 11 (1998), 91-95.
  • S.S. Dragomir and C.E.M. Pearce, "Selected Topics on Hermite-Hadamard Inequalities and Its Applications", RGMIA Monograph 2002.
  • S.S. Dragomir, J. Pečarić and LE.Persson, "Some inequalities of Hadamard Type", Soochow Journal of Mathematics, 21 (3)(2001), pp. 335-341.
  • J. Hadamard, "Étude sur les propriétés des fonctions entières en particulier d’une fonction considérée par Riemann", J. Math. Pures Appl. 58(1893), 171-215.
  • İ. İşcan, "New refinements for integral and sum forms of Hölder inequality", Journal of Inequalities and Applications, (2019) 2019:304, 11 pages.
  • İ. İşcan and M. Kunt, "Hermite-Hadamard-Fejer type inequalities for quasi geometrically convex functions via fractional integrals", Journal of Mathematics, Volume 2016, Article ID 6523041, 7 pages.
  • H. Kadakal, "Hermite-Hadamard type inequalities for trigonometrically convex functions", Scientific Studies and Research. Series Mathematics and Informatics, Vol. 28(2018), No. 2, 19-28.
  • M. Kadakal, H. Kadakal and İ. İşcan, "Some new integral inequalities for n-times differentiable s-convex functions in the first sense", Turkish Journal of Analysis and Number Theory, Vol. 5, No. 2 (2017), 63-68.
  • U.S., Kırmacı, "Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula", Applied Mathematics and Computation 147 (1) (2004), 137-146.
  • S. Maden, H. Kadakal, M. Kadakal and İ, "Some new integral inequalities for n-times differentiable convex and concave functions", Journal of Nonlinear Sciences and Applications, 10, 12(2017), 6141-6148.
  • S. Özcan, and İ. İşcan, "Some new Hermite-Hadamard type inequalities for s-convex functions and their applications", Journal of Inequalities and Applications, Article number: 2019:201 (2019).
  • S. Varošanec, "On h-convexity", J. Math. Anal. Appl. 326 (2007) 303-311.
  • G. Zabandan, "A new refinement of the Hermite-Hadamard inequality for convex functions", J. Inequal. Pure Appl. Math. 10 2(2009), Article ID 45.

Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions

Year 2020, Volume: 24 Issue: 3, 487 - 493, 01.06.2020

Kerim Bekar

https://doi.org/10.16984/saufenbilder.672838

Abstract

In this paper, we obtain refinements of the left-sided Hermite-Hadamard inequality for functions whose first derivatives in absolute value are trigonometrically P-function.

Keywords

Convex function trigonometrically convex function trigonometrically P-functions Hermite-Hadamard inequality

References

  • K. Bekar, "Hermite-Hadamard type inequalities for trigonometrically P-functions", Comptes rendus de l’Academie bulgare des Sciences, 72(11), 2019.
  • S.S. Dragomir and R.P. "Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula", Appl. Math. Lett. 11 (1998), 91-95.
  • S.S. Dragomir and C.E.M. Pearce, "Selected Topics on Hermite-Hadamard Inequalities and Its Applications", RGMIA Monograph 2002.
  • S.S. Dragomir, J. Pečarić and LE.Persson, "Some inequalities of Hadamard Type", Soochow Journal of Mathematics, 21 (3)(2001), pp. 335-341.
  • J. Hadamard, "Étude sur les propriétés des fonctions entières en particulier d’une fonction considérée par Riemann", J. Math. Pures Appl. 58(1893), 171-215.
  • İ. İşcan, "New refinements for integral and sum forms of Hölder inequality", Journal of Inequalities and Applications, (2019) 2019:304, 11 pages.
  • İ. İşcan and M. Kunt, "Hermite-Hadamard-Fejer type inequalities for quasi geometrically convex functions via fractional integrals", Journal of Mathematics, Volume 2016, Article ID 6523041, 7 pages.
  • H. Kadakal, "Hermite-Hadamard type inequalities for trigonometrically convex functions", Scientific Studies and Research. Series Mathematics and Informatics, Vol. 28(2018), No. 2, 19-28.
  • M. Kadakal, H. Kadakal and İ. İşcan, "Some new integral inequalities for n-times differentiable s-convex functions in the first sense", Turkish Journal of Analysis and Number Theory, Vol. 5, No. 2 (2017), 63-68.
  • U.S., Kırmacı, "Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula", Applied Mathematics and Computation 147 (1) (2004), 137-146.
  • S. Maden, H. Kadakal, M. Kadakal and İ, "Some new integral inequalities for n-times differentiable convex and concave functions", Journal of Nonlinear Sciences and Applications, 10, 12(2017), 6141-6148.
  • S. Özcan, and İ. İşcan, "Some new Hermite-Hadamard type inequalities for s-convex functions and their applications", Journal of Inequalities and Applications, Article number: 2019:201 (2019).
  • S. Varošanec, "On h-convexity", J. Math. Anal. Appl. 326 (2007) 303-311.
  • G. Zabandan, "A new refinement of the Hermite-Hadamard inequality for convex functions", J. Inequal. Pure Appl. Math. 10 2(2009), Article ID 45.
There are 14 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Kerim Bekar 0000-0002-7531-9345

Publication Date June 1, 2020
Submission Date January 9, 2020
Acceptance Date March 17, 2020
Published in Issue Year 2020 Volume: 24 Issue: 3

Cite

APA Bekar, K. (2020). Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions. Sakarya University Journal of Science, 24(3), 487-493. https://doi.org/10.16984/saufenbilder.672838
AMA Bekar K. Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions. SAUJS. June 2020;24(3):487-493. doi:10.16984/saufenbilder.672838
Chicago Bekar, Kerim. “Left-Sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions”. Sakarya University Journal of Science 24, no. 3 (June 2020): 487-93. https://doi.org/10.16984/saufenbilder.672838.
EndNote Bekar K (June 1, 2020) Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions. Sakarya University Journal of Science 24 3 487–493.
IEEE K. Bekar, “Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions”, SAUJS, vol. 24, no. 3, pp. 487–493, 2020, doi: 10.16984/saufenbilder.672838.
ISNAD Bekar, Kerim. “Left-Sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions”. Sakarya University Journal of Science 24/3 (June 2020), 487-493. https://doi.org/10.16984/saufenbilder.672838.
JAMA Bekar K. Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions. SAUJS. 2020;24:487–493.
MLA Bekar, Kerim. “Left-Sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions”. Sakarya University Journal of Science, vol. 24, no. 3, 2020, pp. 487-93, doi:10.16984/saufenbilder.672838.
Vancouver Bekar K. Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions. SAUJS. 2020;24(3):487-93.
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