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Dergiler / Turkish Journal of Science / 2026 / Cilt: 5 Sayı: 1

On Some Inequalities for Product of Different Kinds of Convex Functions

Mustafa Gürbüz(AĞRI İBRAHİM ÇEÇEN ÜNİVERSİTESİ, MATEMATİK VE FEN BİLİMLERİ EĞİTİMİ BÖLÜMÜ, İLKÖĞRETİM MATEMATİK ÖĞRETMENLİĞİ PROGRAMI)
Muhamet Emin Özdemir(Prof. Dr.Uludağ University, Faculty of Education,)
Sayfa
23–27
Yayın Tarihi
2020-03-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained.
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Temel Bulgular & Veri:In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained.
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Sonuç & Katkı:To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:h-convex functions · Q(I) class of functions · convex functions

Abstract

In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained. To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.

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Bu Makaleye Atıf Yap

Gürbüz, M., Özdemir, M. E. (2020). On Some Inequalities for Product of Different Kinds of Convex Functions. Turkish Journal of Science, Cilt: 5 Sayı: 1, 23–27. https://ajindex.com/articles/1557574

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Kaynakça (7)

  1. Godunova, E. K. and Levin, V. I., Inequalities for functions of a broad class that contains convex, monotone and some other forms of functions' in: Numerical Mathematics and Mathematical Physics (Moskov. Gos. Ped. Inst, Moscow, 1985), pp. 138-142, 166 (in Russian).
  2. S. Varosanec, On h-convexity, J. Math. Anal. Appl. 326 (2007) 303-311.
  3. V.G. Miheşan, A generalization of the convexity, Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca (Romania) (1993).
  4. Toader, G.H., 1984. Some Generalisations of the Convexity, Proc. Colloq. Approx. Optim, Cluj-Napoca, 329-338, Romania.
  5. Pecaric, J., Proschan, F. and Tong, Y.L., 1992. Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Inc.
  6. Dragomir, S.S. and Pearce, C.E.M., 2000. Selected Topics on Hermite-Hadamard Tpye Inequalities and Applications, RGMIA, Monographs, http://rgmia.vu.edu.au/monographs.html
  7. Sarıkaya, M.Z., Set, E. and Özdemir, M.E., 2010. On some new inequalities of Hadamard type involving h-convex functions, Acta Math. Universitatis Comenianae. Vol. 79. Iss. 2, 265-272.