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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 4

HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS

Mahir KADAKAL
Sayfa
1315–1324
Yayın Tarihi
2019-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The obtained results are compared with the previous ones.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, using the Hölder-İşcan and improved power-mean integral inequalities together with an identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for multiplicatively harmonically P-functions.
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Temel Bulgular & Veri:In this paper, using the Hölder-İşcan and improved power-mean integral inequalities together with an identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for multiplicatively harmonically P-functions.
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Sonuç & Katkı:The obtained results are compared with the previous ones.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Multiplicatively P-function · multiplicatively harmonically P-functions · Hermite–Hadamard type inequalities

Abstract

In this paper, using the Hölder-İşcan and improved power-mean integral inequalities together with an identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for multiplicatively harmonically P-functions. The obtained results are compared with the previous ones.

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Bu Makaleye Atıf Yap

KADAKAL, M. (2019). HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 4, 1315–1324. https://ajindex.com/articles/419127

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Kaynakça (6)

  1. Dragomir, S. S., (2000)
  2. Agarwal, R. P. & Cerone, P. On Simpson's inequality and applications., J. Inequal. Appl. 5, 533-579.
  3. Dragomir, SS. and Pearce CEM., (2003) Selected topics on Hermite-Hadamard inequalities and applications, Mathematics Preprint Archive. Dragomir SS, Pečarić JE, Persson LE., (1995) Some inequalities of Hadamard type. Soochow J. Math. 21:335-341. İşcan İ., (2014) Hermite-Hadamard type inequalities for harmonically convex functions. Hacet. J. Math. Stat. Volume 43 (6) (2014), 935 – 942. İşcan İ., (2014) Some new general integral inequalities for h-convex and h-concave functions. Adv. Pure Appl. Math. 5(1):21-29. İşcan İ., (2014) Hermite-Hadamard type inequalities for GA-s-convex functions. Le Matematiche, Vol. LXIX, Fasc. II, pp. 129-146.
  4. İşcan, İ., (2019) New refinements for integral and sum forms of Hölder inequality, Researchgate, DOI: 10.13140/RG.2.2.19356.54409, Preprint, January. İşcan, İ., Numan S. and Bekar K., (2014) Hermite-Hadamard and Simpson Type Inequalities for Differentiable Harmonically P-functions, British Journal of Mathematics & Computer Science, 4(14): 1908-1920. İşcan İ. and Olucak V., (2019) Multiplicatively harmonically P-functions and some related inequalities, Sigma J Eng & Nat Sci,37 (2), 521-528. Kadakal H., (2018) Multiplicatively P-functions and some new inequalities, New Trends in Mathematical Sciences, NTMSCI 6, No. 4, 111-118. Kadakal H., (2018) Hermite-Hadamard type inequalities for trigonometrically convex functions, Scientific Studies and Research, Series Mathematics and Informatics, Vol. 28, No. 2, 19-28
  5. Kadakal M., İşcan İ., Kadakal H. and Bekar K., (2019) On improvements of some integral inequalities, Researchgate, DOI: 10.13140/RG.2.2.15052.46724, Preprint, January. Niculescu CP., (2003) Convexity according to means. Math. Inequal. Appl. 6(4):571-579. Available online at http://dx.doi.org/10.7153/mia-06-53.
  6. Özdemir ME, Yıldız Ç., (2013) New inequalities for Hermite-Hadamard and Simpson type with applications. Tamkang journal of Mathematics. 44(2):209-216.