Results 11 to 20 of about 203,013 (298)
Generalized double-integral Ostrowski type inequalities on time scales
Applied Mathematics Letters, 2011 The inequality proved by A. M. Ostrowski in 1938 asserts that if \(f:[a,b]\to\mathbb R\) is a continuous function whose derivative on \((a,b)\) satisfies \(|f'|\leq M\), then \[ \left| f(x)-\frac{1}{b-a}\int_a^b f(t)\,dt\right|\leq \left(\frac{1}{4}+\left(\frac{x-\frac{a+b}{2}}{b-a}\right)^2\right)(b-a)M \] for every \(x\in[a,b]\). A time-scale version
Hussain, Sabir +2 more
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Fractal and FractionalIn particular, the fractional forms of Hermite–Hadamard inequalities for the newly defined class of convex mappings proposed that are known as coordinated left and right ℏ-convexity (LR-ℏ-convexity) over interval-valued codomain.
Tareq Saeed +3 more
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Bounds for solutions to retarded nonlinear double integral inequalities
Electronic Journal of Differential Equations, 2014 We present bounds for the solution to three types retarded nonlinear integral inequalities in two variables. By doing this, we generalizing the results presented in [3,12]. To illustrate our results, we present some applications.
Sabir Hussain, Tanzila Riaz, Qing-Hua Ma
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Fractional Integral Inequalities for Some Convex Functions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
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Hermite-Hadamard-Fejér inequalities for double integrals
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane \(\mathbb{R}^2\). Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
Axioms, 2022 In the present paper, we prove some new reverse type dynamic inequalities on T. Our main inequalities are proved by using the chain rule and Fubini’s theorem on time scales T. Our results extend some existing results in the literature.
Ahmed A. El-Deeb, Clemente Cesarano
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Axioms, 2022 In this paper, we extend some Steffensen-type inequalities to time scales by using the diamond-α-dynamic integral. Further, we prove some new Steffensen-type inequalities for convex functions utilizing positive σ-finite measures in time scale calculus ...
Ksenija Smoljak Kalamir
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A trapezoid type inequality for double integrals [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2001 In this paper, we point out a trapezoid like inequality for double integrals and apply it in connection with the Gruss inequality.
Barnett, Neil S, Dragomir, Sever S
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Weighted generalization of some inequalities for double integrals
Publications de l'Institut Mathematique, 2021 We give some weighted double integral inequalities of Hermite-Hadamard type for co-ordinated convex functions in a rectangle from R2. The inequalities obtained provide generalizations of some result given in earlier works.
Sarıkaya, Mehmet, Budak, Hüseyin
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On the Weighted Ostrowski-type Integral Inequality for Double Integrals [PDF]
Arabian Journal for Science and Engineering, 2011 In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.
Sarıkaya, Mehmet Zeki +1 more
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