Brunn-Minkowski Inequality
Inequalities of Aleksandrov body
... A new concept of p- Aleksandrov body is firstly introduced. In this paper, p- Brunn- Minkowski inequality and p- Minkowski inequality on the p- Aleksandrov body are established. ...
13
Some new Brunn Minkowski type inequalities in convex bodies
... The Brunn-Minkowski inequality theory plays an important role in a number of mathe- matical disciplines such as measure theory, crystallography, optimal control theory, func- tional analysis, and ...
21
New inequalities for star bodies
... classical Brunn-Minkowski theory forms a central part of Brunn-Minkowski theory of convex bodies and arises naturally if one combines the two fundamental concepts of Minkowski addition ...
8
Some inequalities for \((p,q)\) mixed volume
... century, Brunn and Minkowski pioneered the classical Brunn–Minkowski theory of convex bodies, which is the product of Minkowski linear combination of vectors and volumes in the ...
9
Cyclic Brunn–Minkowski inequalities for general width and chord integrals
... cyclic Brunn–Minkowski inequalities for general ith width-integrals and gen- eral ith chord-integrals by using Zhao’s ideas (see [10] and ...cyclic inequality and Brunn–Minkowski ...
9
On p radial Blaschke and harmonic Blaschke additions
... Radial Blaschke-Minkowski homomorphisms are important examples of star body val- ued valuations. Their natural duals, Blaschke-Minkowski homomorphisms, are an im- portant notion in the theory of convex body ...
12
Inequalities for dual affine quermassintegrals
... For star bodies, the dual affine quermassintegrals were studied in [3, 4, 7, 10]. The aim of this paper is to study them further. For reader’s convenience, we try to make the paper self-contained. This paper, except for ...
7
Brunn-Minkowski Inequalities for the LandL Radial Blaschke-Minkowski Homomorphisms
... [8] Y. B. Feng, S. H. Wu and W. D. Wang, “Mixed chord-integrals of index i and radial Blaschke-Minkowski homomorphisms,” Rocky Mountain Journal of Mathematics, vol. 47, no. 8, pp. 2627–2640, 2017. [9] R. J. ...
5
The General L-Dual Mixed Brightness Integrals
... After studying their extremum values and establishing Aleksandrov-Frenchel inequality, cyclic inequality and the Brunn-Minkowski inequality for the general Lp -dual mixed brightness inte[r] ...
5
On Minkowski's inequality and its application
... 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15 Keywords: Minkowski?’?s inequality, H?ö?lder?’?s inequality, Brunn-Minkowski inequality, dual mixed volume.. 1 Improvement of[r] ...
5
Dual Orlicz Harmonic Mixed Quermassintegrals
... dual Brunn-Minkowski theory, introduced in the 1970s, helped achieving a major breakthrough in the solution of the Busemann-Petty problem in the ...the Brunn-Minkowski theory, in the dual ...
13
Orlicz Mixed Geominimal Surface Area
... Orlicz Brunn-Minkowski inequality and the Orlicz Minkowski mixed volume ...the Brunn-Minkowski inequality and Minkowski inequality, which have been applied ...
7
A Converse of Minkowski's Type Inequalities
... An extension of inequality 1.2 was formulated by Ingham and Jessen see 2, pages 31-32. In 1948, T ˆoyama 4 published a converse of the inequality of Ingham and Jessen see also a recent paper 5 for a ...
9
The Beckenbach Dresher inequality in the Ψ direct sums of spaces and related results
... B ⊕ ψ ˜ D . B ⊕ ψ ˜ D is called ψ ˜ -direct sum of spaces B and D. Using monotonicity of the pseudo-norm . ˜ generated by the function ψ ˜ and the fact that the inverse Minkowski inequality holds for this ...
14
10. A new note on local property of factored Fourier series
... Summability factors, absolute matrix summability, infinite series, Fourier series, H¨ older inequality, Minkowski inequality, local property.. 2016 Universiteti i Prishtin¨ es, Prishtin¨[r] ...
7
On Quasi-Power Increasing Sequences and Their Some Applications
... sequence spaces; Riesz mean; summability factors; increasing sequences; infinite series; H¨ older inequality; Minkowski inequality.. 2016 Authors retain the copyrights of their papers, a[r] ...
6
The Minkowski inequality involving generalized k fractional conformable integral
... reverse Minkowski inequality involving the newly introduced fractional integral ...this inequality, including statements and verifications of other inequalities via the suggested k-fractional ...
18
2. GENERALIZED ABSOLUTE CESARO SUMMABILITY FACTORS
... Sequence space; Ces` aro mean; increasing sequences; summability factors; infinite series; H¨ older inequality; Minkowski inequality.. 2016 Universiteti i Prishtin¨ es, Prishtin¨ e, Koso[r] ...
5
Some General Inequalities for Choquet Integral
... Integral inequalities are useful tools in several theoretical and applied fields. For more information on classic- al inequalities, we refer the reader to the distinguished monograph [9] [10]. Recently, Li and Sun [11] ...
8
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
... isoperimetric inequality we know that, for N-dimensional smooth manifolds having Ricci ≥ K, the isoperi- metric profile function is bounded below by the one of the N -dimensional round sphere of the suitable ...
12