30 hasil untuk "Erhan Set"
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Artikel Jurnal
Ostrowski type inequalities via the Katugampola fractional integrals
The main aim of this study is to reveal new generalized-Ostrowski-type inequalities using Katugampola fractional integral operator which generalizes Riemann-Liouville and Hadamard fractional integral operators into a single form. For this purpose, at first, a new fractional integral identity is…
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Artikel Jurnal
Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Hölder inequality and…
Juga tersedia di: DOAJ
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Artikel Jurnal
Some inequalities obtained by fractional integrals of positive real orders
Abstract The primary objective of this study is to handle new generalized Hermite–Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann–Liouville fractional integral operators into one system. In order to do this, a new…
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Artikel Jurnal Teks lengkap
Some New Fractional Trapezium-Type Inequalities for Preinvex Functions
In this paper, authors the present the discovery of an interesting identity regarding trapezium-type integral inequalities. By using the lemma as an auxiliary result, some new estimates with respect to trapezium-type integral inequalities via general fractional integrals are obtained. It is pointed…
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Artikel Jurnal
Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
Abstract We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. We secondly establish several Hermite-Hadamard type inequalities for the generalized k-fractional integral…
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Artikel Jurnal
HERMITE-HADAMARD TYPE INEQUALITIES FOR LOG-CONVEX STOCHASTIC PROCESSES
− The main aim of the present note is to introduce log-convex stochastic processes and tocontact correlation between convex stochastic processes and log-convex stochastic processes. We alsoprove some Hadamard-type inequalities for log-convex stochastic processes with the help of the special
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Artikel Jurnal
FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS
− Let f : I → R, where I ⊆ R is an interval, be a mapping differentiable in the interiorI◦of I, and let a, b ∈ I◦with a < b. If |f0(x)| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f (x) −¯ ¯ b − a Z b a f (t)dt¯≤ M (b − a)¯ ¯ ¯ ¯ " + ¡ x −a+b(b − a)2¢2# (1)
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Artikel Jurnal
Chebyshev type inequalities involving extended generalized fractional integral operators
In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani et al. from [4] are generalized. Also, it is…
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Artikel Jurnal Teks lengkap
On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications
In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known…
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Artikel Jurnal
Hermite-Hadamard type inequalities for (Mϕ,Mψ)-convex functions
In this paper, the authors introduce the generalization of Hermite-Hadamard inequality by using (Mφ,Mψ)(Mφ,Mψ)
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Artikel Jurnal
Generalizations of Ostrowski type inequalities via F-convexity
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as…
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Artikel Jurnal Teks lengkap
On Some Generalized Fractional Integral Inequalities for p-Convex Functions
In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina, Lun and Agarwal. Secondly, we proved a new identity…
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Artikel Jurnal
On an extension of Hadamard fractional derivative
Abstract In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some results by addressing some standard functions.
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Artikel Jurnal
On (M,P)-functions with some features and new inequalities
In this study, we introduce a generalization of P(M,P)(M,P)(M,P)M
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Artikel Jurnal
Ostrowski type inequalities via new fractional conformable integrals
In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type…
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Artikel Jurnal Teks lengkap
Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators
The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value of derivatives are convex. Our main findings…
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Artikel Jurnal
Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities
Abstract In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also…