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Journal of Mathematics, 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with h,s−convexity. We introduce the concept of reciprocally strongly h,s−convex functions and establish some of their fundamental ...
Yujun Wang +3 more
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Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints
Mathematics, 2022 In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LU-optimal solution and the generalized robust Slater constraint ...
Rekha R. Jaichander +3 more
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Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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Generalized Increasing Convex and Directionally Convex Orders [PDF]
Journal of Applied Probability, 2010 In this paper, the componentwise increasing convex order, the upper orthant order, the upper orthant convex order, and the increasing directionally convex order for random vectors are generalized to hierarchical classes of integral stochastic order relations. The elements of the generating classes of functions possess nonnegative partial derivatives up
Denuit, Michel, Mesfioui, Mhamed
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Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
Journal of Inequalities and Applications, 2018 In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the ...
Huan-Nan Shi, Shan-He Wu
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Journal of Function Spaces, 2022 Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity.
Hengxiao Qi +3 more
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Closed geodesics in Alexandrov spaces of curvature bounded from above [PDF]
, 2010 In this paper, we show a local energy convexity of $W^{1,2}$ maps into $CAT(K)$ spaces. This energy convexity allows us to extend Colding and Minicozzi's width-sweepout construction to produce closed geodesics in any closed Alexandrov space of curvature ...
A. Hatcher +23 more
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On the convexity of Relativistic Ideal Magnetohydrodynamics [PDF]
, 2015 We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely non-linear ...
Aloy, Miguel-Ángel +4 more
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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On Semi-(B,G)-Preinvex Functions
Abstract and Applied Analysis, 2012 We firstly construct a concrete semi-invex set which is not invex. Basing on concept of semi-invex set, we introduce some kinds of generalized convex functions, which include semi-(B,G)-preinvex functions, strictly semi-(B,G)-preinvex functions and ...
Xiaoling Liu, D. H. Yuan
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