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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

SOME CAPUTO k-FRACTIONAL DERIVATIVES OF OSTROWSKI TYPE CONCERNING (n + 1)-DIFFERENTIABLE GENERALIZED RELATIVE SEMI-(r; m; p; q; h1; h2)-PREINVEX MAPPINGS

Artion Kashuri0000-0003-0115-3079
Rozana Liko0000-0003-2439-8538
Sayfa
—
Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is pointed out that some new special cases can be deduced from main results of the article.

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Amaç & Hipotez:In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings.
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Temel Bulgular & Veri:And then, a new identity concerning (n+1)-differentiable mappings defined on m-invex set via Caputo k-fractional derivatives is derived.
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Sonuç & Katkı:It is pointed out that some new special cases can be deduced from main results of the article.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ostrowski type inequality · Hölder's inequality · Minkowski inequality

Abstract

In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings. And then, a new identity concerning (n+1)-differentiable mappings defined on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi-(r;m,p,q, h₁,h₂)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article.

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Bu Makaleye Atıf Yap

Kashuri, A., Liko, R. (2019). SOME CAPUTO k-FRACTIONAL DERIVATIVES OF OSTROWSKI TYPE CONCERNING (n + 1)-DIFFERENTIABLE GENERALIZED RELATIVE SEMI-(r; m; p; q; h1; h2)-PREINVEX MAPPINGS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.501430

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