Makale detayı · 2023
Conformable fractional Newton-type inequalities with respect to differentiable convex functions
- Yıl
- 2023
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Journal of Inequalities and Applications
- Katalog eşleşmesi (ISSN) Journal of Inequalities and Applications
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Abstract The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Hölder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.
Konular
Atıflar
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23 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 9 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Fractional Newton-type inequalities for twice differentiable functions via proportional Caputo-hybrid operator 2025
- Fractional integral inequalities for exponentially preinvex functions via conformable fractional integrals 2026
- Newton-type Inequalities for Fractional Integrals by Various Function Classes 2025
- Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals 2025
- Investigations into Hermite-Hadamard-Fejér Inequalities within the Realm of Trigonometric Convexity 2025