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Year 2016, , 14 - 22, 30.10.2016
https://doi.org/10.36753/mathenot.421442

Abstract

References

  • [1] Ardic, M.A and Ozdemir, M.E., On some inequalities for different kinds of convexity. J. Inequal. Appl. 3 (2012), 1-6.
  • [2] Berwein, J. M and Vanderwerff, J. D., Convex Functions:Constructions, Characterizations and Counterexamples. Cambridge University Press (2010), ISBN 978-0-521-85005-6.
  • [3] Dragomir S. S., Pecaric J. and Persson L.E., Some inequalities of Hadamard type. Soochow J. Math. 21 (1995), 335-241.
  • [4] Dragomir, S. S., and Toader, G., Some Inequalities for m-convex functions. Studia Univ. Babes-Bolyai Math. 38 (1993), no. 1, 21-28.
  • [5] Fenchel, W., Convexity through the ages. Proceedings Convexity and its Applications (1983), 120-130.
  • [6] Godunova E. K. and Levin V. I., Neravenstva dlja funkcii sirokogo klassa, soderzascego vypuklye monotonnye i nekotorye drugie vidy funkii. Vycisli-tel. Mat. i. Fiz. Mezvuzov. Sb. Nauc. Trudov, MGPI, Moskva (1985), 138-142.
  • [7] Hadamard J., Etude Sur les properties des fontions entieres et en particular d’une function consideree par Riemann. J. Math. Pure and Appl. 58 (1893), 171-215.
  • [8] Omotoyinbo O. and Mogbademu A., On some Hadamard inequality for Godunova-Levin and MT-Convex functions. J. Nig. Assoc. Math. Phys. 25 (2013), no: II, 215-222.
  • [9] Omotoyinbo, O. and Mogbademu, A., Some New Hermite-Hadamard Integral inequalities for convex functions. Int. J. Sci. Innovation Tech. 1 (2014), no. 1, 001-012.
  • [10] Ozdemir, M.E., Ekinci, A and Akdemir, A.O., Some new Integral Inequalites for several kinds of convex functions. Arxiv.org/pdf/1202.2003. (2012), 1-11.
  • [11] Tunc M., and Yildirim, H., On MT-convexity. http://arxiv.org/pdf/1205.5453.pdf. (2012), Preprint.
  • [12] Tunc M., Subas Y., and Karabayir I., On some Hadamard type inequalities for MT-convex functions. Int. J. Open Problems Comp. Math. 6 (2013), no. 2, 1998-6262

Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function

Year 2016, , 14 - 22, 30.10.2016
https://doi.org/10.36753/mathenot.421442

Abstract

In this paper, we establish some Hermite-Hadamard type Integral inequalities for a new class of convex
function called λ-MT-convex function. Our results generalize and extend some existing results in
literature.

References

  • [1] Ardic, M.A and Ozdemir, M.E., On some inequalities for different kinds of convexity. J. Inequal. Appl. 3 (2012), 1-6.
  • [2] Berwein, J. M and Vanderwerff, J. D., Convex Functions:Constructions, Characterizations and Counterexamples. Cambridge University Press (2010), ISBN 978-0-521-85005-6.
  • [3] Dragomir S. S., Pecaric J. and Persson L.E., Some inequalities of Hadamard type. Soochow J. Math. 21 (1995), 335-241.
  • [4] Dragomir, S. S., and Toader, G., Some Inequalities for m-convex functions. Studia Univ. Babes-Bolyai Math. 38 (1993), no. 1, 21-28.
  • [5] Fenchel, W., Convexity through the ages. Proceedings Convexity and its Applications (1983), 120-130.
  • [6] Godunova E. K. and Levin V. I., Neravenstva dlja funkcii sirokogo klassa, soderzascego vypuklye monotonnye i nekotorye drugie vidy funkii. Vycisli-tel. Mat. i. Fiz. Mezvuzov. Sb. Nauc. Trudov, MGPI, Moskva (1985), 138-142.
  • [7] Hadamard J., Etude Sur les properties des fontions entieres et en particular d’une function consideree par Riemann. J. Math. Pure and Appl. 58 (1893), 171-215.
  • [8] Omotoyinbo O. and Mogbademu A., On some Hadamard inequality for Godunova-Levin and MT-Convex functions. J. Nig. Assoc. Math. Phys. 25 (2013), no: II, 215-222.
  • [9] Omotoyinbo, O. and Mogbademu, A., Some New Hermite-Hadamard Integral inequalities for convex functions. Int. J. Sci. Innovation Tech. 1 (2014), no. 1, 001-012.
  • [10] Ozdemir, M.E., Ekinci, A and Akdemir, A.O., Some new Integral Inequalites for several kinds of convex functions. Arxiv.org/pdf/1202.2003. (2012), 1-11.
  • [11] Tunc M., and Yildirim, H., On MT-convexity. http://arxiv.org/pdf/1205.5453.pdf. (2012), Preprint.
  • [12] Tunc M., Subas Y., and Karabayir I., On some Hadamard type inequalities for MT-convex functions. Int. J. Open Problems Comp. Math. 6 (2013), no. 2, 1998-6262
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Opeyemi Omotoyinbo This is me

Adesanmi Mogbademu

Peter Olanipekun This is me

Publication Date October 30, 2016
Submission Date September 11, 2014
Published in Issue Year 2016

Cite

APA Omotoyinbo, O., Mogbademu, A., & Olanipekun, P. (2016). Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function. Mathematical Sciences and Applications E-Notes, 4(2), 14-22. https://doi.org/10.36753/mathenot.421442
AMA Omotoyinbo O, Mogbademu A, Olanipekun P. Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function. Math. Sci. Appl. E-Notes. October 2016;4(2):14-22. doi:10.36753/mathenot.421442
Chicago Omotoyinbo, Opeyemi, Adesanmi Mogbademu, and Peter Olanipekun. “Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function”. Mathematical Sciences and Applications E-Notes 4, no. 2 (October 2016): 14-22. https://doi.org/10.36753/mathenot.421442.
EndNote Omotoyinbo O, Mogbademu A, Olanipekun P (October 1, 2016) Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function. Mathematical Sciences and Applications E-Notes 4 2 14–22.
IEEE O. Omotoyinbo, A. Mogbademu, and P. Olanipekun, “Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function”, Math. Sci. Appl. E-Notes, vol. 4, no. 2, pp. 14–22, 2016, doi: 10.36753/mathenot.421442.
ISNAD Omotoyinbo, Opeyemi et al. “Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function”. Mathematical Sciences and Applications E-Notes 4/2 (October 2016), 14-22. https://doi.org/10.36753/mathenot.421442.
JAMA Omotoyinbo O, Mogbademu A, Olanipekun P. Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function. Math. Sci. Appl. E-Notes. 2016;4:14–22.
MLA Omotoyinbo, Opeyemi et al. “Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 2, 2016, pp. 14-22, doi:10.36753/mathenot.421442.
Vancouver Omotoyinbo O, Mogbademu A, Olanipekun P. Integral Inequalities of Hermite-Hadamard Type for λ-MT-Convex Function. Math. Sci. Appl. E-Notes. 2016;4(2):14-22.

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