Search Results - "Sarikaya, Mehmet Zeki"
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Fractional Ostrowski type inequalities for bounded functions
Published in Journal of inequalities and applications (03-05-2020)“…We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional…”
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Generalized Ostrowski type inequalities for local fractional integrals
Published in Proceedings of the American Mathematical Society (01-04-2017)“…First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal sets R^{\alpha } \left ( 0<\alpha \leq 1\right ) of real…”
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3
On the generalization of some integral inequalities and their applications
Published in Mathematical and computer modelling (01-11-2011)“…In this paper, a general integral identity for convex functions is derived. Then, we establish some new inequalities of the Simpson and the Hermite–Hadamard…”
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On the refinements of some important inequalities with a finite set of positive numbers
Published in Mathematical methods in the applied sciences (01-08-2024)“…In this research, a novel method for enhancing the Hölder–Işcan inequality through the utilization of both integrals and sums, as well as the mean power…”
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On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals
Published in Symmetry (Basel) (01-04-2020)“…Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different…”
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6
Simpson’s quadrature formula for third differentiable and s-convex functions
Published in Boundary value problems (29-10-2024)“…This study establishes Newton-type inequalities for third differentiable and s -convex functions that use the Riemann integral. New Newton-type inequalities…”
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On New Inequalities via Riemann-Liouville Fractional Integration
Published in Abstract and Applied Analysis (01-01-2012)“…We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral…”
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Hermite–Hadamard type inequalities for F-convex function involving fractional integrals
Published in Journal of inequalities and applications (2018)“…In this study, the family F and F -convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type…”
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Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals
Published in Journal of inequalities and applications (18-09-2020)“…In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h…”
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q-Hardy type inequalities for quantum integrals
Published in Advances in difference equations (31-07-2021)“…The aim of this work is to obtain quantum estimates for q -Hardy type integral inequalities on quantum calculus. For this, we establish new identities…”
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Newton-type inequalities associated with convex functions via quantum calculus
Published in Mathematical notes (Miskolci Egyetem (Hungary)) (2024)“…In this paper, we firstly establish an identity by using the notions of quantum derivatives and integrals. Using this quantum identity, quantum Newton-type…”
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On some new quantum trapezoid-type inequalities for q-differentiable coordinated convex functions
Published in Journal of inequalities and applications (11-01-2023)“…In this paper, we establish several new inequalities for q -differentiable coordinated convex functions that are related to the right side of Hermite–Hadamard…”
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Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
Published in Advances in difference equations (10-02-2021)“…In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions…”
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Some inequalities for double integrals and applications for cubature formula
Published in Acta universitatis sapientiae. Mathematica (01-12-2019)“…We establish two Ostrowski type inequalities for double integrals of second order partial derivable functions which are bounded. Then, we deduce some…”
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On new generalized quantum integrals and related Hermite–Hadamard inequalities
Published in Journal of inequalities and applications (30-10-2021)“…In this article, we introduce a new concept of quantum integrals which is called T q κ 2 -integral. Then we prove several properties of this concept of quantum…”
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Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule
Published in Mathematics (Basel) (01-05-2023)“…Simpson’s rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives…”
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Hermite-Hadamard-Fejér inequalities for double integrals
Published in Communications Series A1 Mathematics & Statistics (01-01-2021)“…In this paper, we first obtain Hermite-Hadamard-Fejer inequali- ties for co-ordinated convex functions in a rectangle from the plane R2. More- over, we give…”
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On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals
Published in Communications Series A1 Mathematics & Statistics (28-11-2020)“…In this work, we de ne multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of…”
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On Comparison Theorems for Conformable Fractional Differential Equations
Published in International journal of analysis and applications (01-10-2016)“…In this paper the more general comparison theorems for conformable fractional differential equations is proposed and tested. Thus we prove some inequalities…”
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New Generalized Inequalities for Functions of Bounded Variation
Published in Cumhuriyet Science Journal (30-09-2018)“…In this paper, firstly we obtain some generalized trapezoid and midpoint type inequalities for functions of bounded variation using two new generalized…”
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