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Delay dynamic double integral inequalities on time scales with applications
Advances in Difference Equations, 2020 In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results.
Sobia Rafeeq +4 more
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Fractal and Fractional, 2021 In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we
Gauhar Rahman +3 more
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Weighted Cebysev Type Inequalities for Double Integrals and Application [PDF]
Sahand Communications in Mathematical Analysis, 2021 The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type ...
Asif Khan, Hira Nasir, Syed Shirazi
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On some new double dynamic inequalities associated with Leibniz integral rule on time scales
Advances in Difference Equations, 2021 In 2020, El-Deeb et al. proved several dynamic inequalities. It is our aim in this paper to give the retarded time scales case of these inequalities. We also give a new proof and formula of Leibniz integral rule on time scales. Beside that, we also apply
A. A. El-Deeb, Saima Rashid
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On fractional Simpson type integral inequalities for co-ordinated convex functions
Journal of Inequalities and Applications, 2022 In this study, we prove equality for twice partially differentiable mappings involving the double generalized fractional integral. Using the established identity, we offer some Simpson’s type inequalities for partially differentiable co-ordinated convex ...
Sundas Khan, Hüseyin Budak
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Mathematics, 2022 Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship.
Gustavo Santos-García +4 more
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(p, q)-Hermite–Hadamard Inequalities for Double Integral and (p, q)-Differentiable Convex Functions
Axioms, 2019 The aim of this paper is to establish some new ( p , q ) -calculus of Hermite−Hadamard inequalities for the double integral and refinements of the Hermite−Hadamard inequality for ( p , q ) -differentiable convex functions.
Julalak Prabseang +2 more
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Double integral inequalities based on multi-branch Peano kernels [PDF]
Mathematical Inequalities & Applications, 2002 Summary: The Ostrowski inequality in one dimension has been known for about seventy years. In the last two or three years an Ostrowski type inequality in two dimensions has been developed. In this paper we extend these ideas in two dimensions to obtain double integral inequalities that are based on multi-branch Peano kernels.
A. Sofo
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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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