Generation of new fractional inequalities via n polynomials s-type convexity with applications

S Rashid, İ İşcan, D Baleanu, YM Chu - Advances in Difference Equations, 2020 - Springer
Abstract The celebrated Hermite–Hadamard and Ostrowski type inequalities have been
studied extensively since they have been established. We find novel versions of the Hermite …

On refinements of some integral inequalities using improved power‐mean integral inequalities

H Kadakal - Numerical Methods for Partial Differential …, 2020 - Wiley Online Library
In this study, using power‐mean inequality and improved power‐mean integral inequality
better approach than power‐mean inequality and an identity for differentiable functions, we …

[PDF][PDF] New upper and lower bounds for the trapezoid inequality of absolutely continuous functions and applications

MW Alomari - Konuralp Journal of Mathematics, 2019 - dergipark.org.tr
New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions
and Applications Page 1 Konuralp Journal of Mathematics, 7 (2) (2019) 319-323 Konuralp …

Dual Simpson type inequalities for functions whose absolute value of the first derivatives are preinvex

T Chiheb, B Meftah, A Dih - Konuralp Journal of Mathematics, 2022 - dergipark.org.tr
Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives
are Preinvex Page 1 Konuralp Journal of Mathematics, 10 (1) (2022) 73-78 Konuralp …

[PDF][PDF] Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings

Y Yu, H Lei, G Hu, T Du - AIMS Math, 2021 - aimspress.com
We use the definition of a fractional integral operators, recently introduced by Katugampola,
to establish a parameterized identity associated with differentiable mappings. The identity is …

Better results for Trigonometrically convex functions via Hölder-İşcan and Improved Power-Mean inequalities

M Kadakal - Universal Journal of Mathematics and Applications, 2020 - dergipark.org.tr
In this paper, using Hölder-İşcan and improved power-mean integral inequalities and
together with an integral identity, we obtain Hadamard type inequalities for functions whose …

[PDF][PDF] A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation

MW Alomari - Konuralp Journal of Mathematics, 2019 - dergipark.org.tr
A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded
Variation Page 1 Konuralp Journal of Mathematics, 7 (2) (2019) 337-343 Konuralp Journal …

Novel Results based on generalisation of some integral inequalities for trigonometrically-p function

S Turhan - Sakarya University Journal of Science, 2020 - dergipark.org.tr
Trigonometric P-function is defined as a special case of h-convex function. In this article, we
used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type …

[PDF][PDF] Certain exponential type m-convexity inequalities for fractional integrals with exponential kernels

H Wang, Z Wu, X Zhang, S Chen - AIMS Mathematics, 2022 - aimspress.com
By applying exponential type m-convexity, the Hölder inequality and the power mean
inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with …

[PDF][PDF] Konuralp Journal of Mathematics

H Kadakal, K Bekar - academia.edu
In this manuscript, we introduce and study the concept of (m1, m2)-GG convex functions and
some algebraic properties of them. In addition, we obtain Hermite-Hadamard type …