Results 231 to 240 of about 410 (256)

Conformable Fractional Approximation by Choquet Integrals

2018
Here we present the conformable fractional quantitative approximation of positive sublinear operators to the unit operator. These are given a precise Choquet integral interpretation. Initially we start with the study of the conformable fractional rate of the convergence of the well-known Bernstein–Kantorovich–Choquet and Bernstein–Durrweyer–Choquet ...
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New k-Conformable Fractional Integral Inequalities

2020
A new integral identity using the concepts of k-conformable fractional calculus is obtained. Utilizing the preinvexity property of the functions associated upper bounds is also obtained. Some special cases of the obtained results are also discussed.
Muhammad Uzair Awan, Muhammad Aslam Noor, Sadia Talib, Khalida Inayat Noor, Themistocles M. Rassias   +4 more
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Hermite–Hadamard–Fejér inequalities for generalized conformable fractional integrals

Mathematical Methods in the Applied Sciences, 2020
In this paper, we study generalized definitions of left and right conformable fractional derivative and integrals. Some applications of the generalized definition are also given for the nonlinear fractional differential equations. We also establish identities associated with the left‐ and right‐hand side of Hermite–Hadamard–Fejér inequality for ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
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CONFORMABLE FRACTIONAL INTEGRALS AND RELATED NEW INTEGRAL INEQUALITIES

2019
In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions and Lipschitzian mappings via conformable fractional integrals.
Akdemir A.o., Ekinci A., Set E., Akdemir, Ahmet Ocak, Belirlenecek, Akdemir, A.O., Ağrı İbrahim g? University, Faculty of Science and Letters, Department of Mathematics, A?? 04100, Turkey; Ekinci, A., Ağrı İbrahim g? University, Faculty of Science and Letters, Department of Mathematics, A?? 04100, Turkey; Set, E., Ordu University, Faculty of Science and Letters, Department of Mathematics, Ordu, Turkey   +5 more
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REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS

Fractals
We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite–Hadamard-, Simpson-,
FATIH HEZENCI, MIGUEL VIVAS-CORTEZ, HÜSEYIN BUDAK   +2 more
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INEQUALITIES INVOLVING SPECIAL FUNCTIONS IN CONFORMABLE FRACTIONAL INTEGRALS

In this manuscript, we elucidate essential connections associated with the ( α , k ) − gamma and ( α , k ) − beta functions, initially introduced by Sarikaya et al. in their work as referenced in [14]. Our investigation includes the establishment of numerous conformable fractional integral inequalities, extending those previously ...
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Hermite-Hadamard type inequalities via conformable fractional integrals

2017
New Hermite-Hadamard type inequalities for conformable fractional integrals are derived by using a new identity involving conformable fractional integrals.
Set E., Gözpinar A., Ekinci A., Belirlenecek, Set, E., Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey; Gözpinar, A., Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey; Ekinci, A., Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Cecen University, Agri, Turkey   +4 more
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GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS

2014
In this paper, some new generalized Gronwall-type inequalities are investigated for conformable differential equations. The established results are extensions of some existing Gronwall-type inequalities in the literature.
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Hardy Type Inequalities for Conformable Fractional Integrals

2020
The main target addressed in this article are presenting Hardy type inequalities for Katugampola conformable fractional integral. In accordance with this purpose we try to use more general type of function in order to make a generalization. Thus our results cover the previous published studies for Hardy type inequalities.
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Several Integral Inequalities of Hermite–Hadamard Type Related to k-Fractional Conformable Integral Operators

Symmetry, 2021
Muhammad Tariq, Hijaz Ahmad, Thanin Sitthiwirattham   +2 more
exaly