Trapezoidal (p,q)-Integral Inequalities Related to (η1,η2)-convex Functions with Applications
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DOI: 10.1007/s10773-021-04739-7
Abstract: In this paper, the authors introduce the (p,q)-trapezoidal integral inequalities, which are the (p,q)-analogues of the recently introduced q-trapezoidal integral inequalities. We derive a new (p,q)-integral identity for twice (p,q)-differentiable function. Utilizing this as an… read more here.
Keywords: inequalities related; related convex; integral inequalities; convex functions ... See more keywords
New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay
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DOI: 10.1007/s11071-018-4439-z
Abstract: The stability analysis of fractional-order systems with unbounded delay remains an open problem. In this paper, we firstly explore two new integral inequalities. Using these two integral inequalities obtained, the Halanay inequality with unbounded delay… read more here.
Keywords: order systems; order; fractional order; integral inequalities ... See more keywords
New Fractional Integral Inequalities for Differentiable Convex Functions and Their Applications
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DOI: 10.1007/s11253-017-1376-9
Abstract: We establish some new fractional integral inequalities for differentiable convex functions and give several applications for the Beta-function. read more here.
Keywords: new fractional; convex functions; integral inequalities; inequalities differentiable ... See more keywords
Some generalizations and refined Hardy type integral inequalities
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DOI: 10.1007/s13370-016-0461-9
Abstract: In this paper, by using Jensen’s inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved. read more here.
Keywords: type integral; generalizations refined; integral inequalities; refined hardy ... See more keywords
On some maximal and integral inequalities for sub-fractional Brownian motion
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DOI: 10.1080/07362994.2016.1241182
Abstract: ABSTRACTWe obtain a maximal inequality for sub-fractional Brownian motion with Hurst index analogous to the Burkholder–Davis–Gundy inequality for fractional Brownian motion derived by Novikov and Valkeila [Statist. Probab. Lett. 44(1999):47–54] and an integral inequality for… read more here.
Keywords: maximal integral; integral inequalities; fractional brownian; brownian motion ... See more keywords
Some Integral Inequalities for Log- $h$ -Convex Interval-Valued Functions
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DOI: 10.1109/access.2019.2925153
Abstract: We introduce the log- $h$ -convex concept for the interval-valued functions (IVFs) and establish some of the new Jensen’s, Hadamard’s, and Hadamard-Fejér’s inequalities for this kind of functions, which generalize some known results. Meanwhile, some… read more here.
Keywords: valued functions; inequalities log; interval valued; log convex ... See more keywords
Certain Bounds Related to Multi-Parameterized $k$ -Fractional Integral Inequalities and Their Applications
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DOI: 10.1109/access.2019.2938341
Abstract: A $k$ -fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to $k$ -fractional integral inequalities for the first-order differentiable functions are obtained. These results are then applied… read more here.
Keywords: integral inequalities; tex math; inline formula; fractional integral ... See more keywords
THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS
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DOI: 10.1142/s0218348x2050111x
Abstract: In this paper, by using the theory of local fractional calculus and some techniques of real analysis, the structural characteristics of Hilbert-type local fractional integral inequalities with abstract homogeneous kernel are studied. At the same… read more here.
Keywords: inequalities abstract; local fractional; hilbert type; integral inequalities ... See more keywords
Some New Postquantum Integral Inequalities
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DOI: 10.1155/2020/7402497
Abstract: The goal of this paper is to derive a new generalized postquantum integral identity. Using this new identity as an auxiliary result, we derive some new variants of integral inequalities using - differentiable preinvex functions.… read more here.
Keywords: postquantum integral; new postquantum; integral inequalities;
Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions
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DOI: 10.1186/s13660-020-02437-2
Abstract: In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type. New lower bounds… read more here.
Keywords: wendorff type; new integral; type discontinuous; integral inequalities ... See more keywords
A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales
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DOI: 10.1186/s13662-019-2236-8
Abstract: In this paper, we investigate some new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales, which provide explicit bounds on unknown functions. Our results not only generalize some dynamic inequalities in… read more here.
Keywords: new nonlinear; dynamic integral; nonlinear dynamic; inequalities containing ... See more keywords