New refinements for integral and sum forms of Hölder inequality

By Imdat Iscan. Journal of Inequalities and Applications, 2019

94 citations recorded by the source corpus.

In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c60e158798d91053b54665023571b6a811b997fa

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In Applied Mathematics

1. Y. Chu
2. Saima Rashid
3. Muhammad Aslam Noor
4. Khalida Inayat Noor
5. S. Özcan
6. Shuang-Shuang Zhou
7. Imdat Iscan
8. Farhat Safdar

In Geometry and Topology

1. Saima Rashid
2. Khalida Inayat Noor
3. Muhammad Aslam Noor
4. S. Özcan
5. Y. Chu
6. Shuang-Shuang Zhou
7. Farhat Safdar
8. Imdat Iscan

Citations in the corpus

• Some new Hermite–Hadamard type inequalities for s-convex functions and their applications (2019, methodology): “In [10], İşcan obtained the following inequality for integrals which gives better results than the classical Hölder inequality.”
• New Hermite-Hadamard type inequalities for exponentially convex functions and applications (2020, methodology): “2 and the Hölder-İşcan inequality [59] that ∣∣∣∣∣∣δ γ K 2 δγ K ΓK (γ +K) (d − c) δγ K [ γ KJ δ ( c+d 2 ) −e φ(c) + γ KJ δ ( c+d 2 ) + e ] − e c+d 2 ) ∣∣∣∣∣∣ ≤ δ γ K (d − c) 4 [{( 1 ∫”