Results 21 to 30 of about 4,289 (134)

Fuzzy Scalar Field Theory as a Multitrace Matrix Model [PDF]

, 2007
We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term. This expansion allows us to integrate out the angular degrees of freedom in the hermitian matrices encoding ...
A.P. Balachandran, B.P. Dolan, B.P. Dolan, B.P. Dolan, C. Saemann, C.-S. Chu, Christian Sämann, Denjoe O'Connor, F. Garcia Flores, F.D. Murnaghan, H. Steinacker, H. Steinacker, H. Steinacker, J. Arnlind, J. Madore, M. Panero, P. Di Francesco, R.C. Myers, S. Kurkcuoglu, S. Minwalla, S. Murray, W. Bietenholz, X. Martin   +22 more
core   +2 more sources

Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels

Fractal and Fractional, 2023
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan, Jorge E. Macías-Díaz, Ali Althobaiti, Saad Althobaiti   +3 more
doaj   +1 more source

Noncommutative gravity: fuzzy sphere and others [PDF]

, 2002
Gravity on noncommutative analogues of compact spaces can give a finite mode truncation of ordinary commutative gravity. We obtain the actions for gravity on the noncommutative two-sphere and on the noncommutative ${\bf CP}^2$ in terms of finite ...
A. Chamseddine, A. Chamseddine, A.P. Balachandran, A.P. Balachandran, B. Morariu, B. Morariu, D. Karabali, D. Kastler, F. Mansouri, F. Mansouri, G. Alexanian, H. Grosse, J. Moffat, J. Moffat, M. Banados, M.R. Douglas, N. Ishibashi, N.A. Viet, P-M. Ho, S. Cacciatori, S. MacDowell, T. Banks, V. P. Nair, V.P. Nair, V.P. Nair, V.P. Nair, W. Kalau, W. Taylor IV, Yasuhiro Abe   +28 more
core   +2 more sources

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Mathematics, 2022
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon.
Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović   +3 more
doaj   +1 more source

Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results [PDF]

, 2010
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kaehler manifolds. The basic objects, concepts, and results are given. This concerns the correct semi-classical limit behaviour of
Schlichenmaier, Martin
core   +4 more sources

Some Certain Fuzzy Fractional Inequalities for Up and Down ℏ-Pre-Invex via Fuzzy-Number Valued Mappings

Fractal and Fractional, 2023
In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, we consider fuzzy Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, and Pachpatte-type inequalities.
Muhammad Bilal Khan, Adriana Catas, Najla Aloraini, Mohamed S. Soliman   +3 more
doaj   +1 more source

Large-small dualities between periodic collapsing/expanding branes and brane funnels [PDF]

, 2005
We consider space and time dependent fuzzy spheres $S^{2p}$ arising in $D1-D(2p+1)$ intersections in IIB string theory and collapsing D(2p)-branes in IIA string theory.
Baker, Belokolos, Belokolos, Brecher, Buchstaber, Byrd, C. Papageorgakis, Callan, Castelino, Chandrasekharan, Chen, Chen, Clemens, Collins, Constable, Constable, Cook, Dubrovin, Enolskii, Gibbons, Gradhstein, Griffiths, Gunning, Kabat, Lynker, Meinel, Moore, Nahm, Ramgoolam, Ramgoolam, S. Ramgoolam, Sen, Thorlacius, Wang   +33 more
core   +3 more sources

New Riemann–Liouville Fractional-Order Inclusions for Convex Functions via Interval-Valued Settings Associated with Pseudo-Order Relations

Fractal and Fractional, 2022
In this study, we focus on the newly introduced concept of LR-convex interval-valued functions to establish new variants of the Hermite–Hadamard (H-H) type and Pachpatte type inequalities for Riemann–Liouville fractional integrals.
Hari Mohan Srivastava, Soubhagya Kumar Sahoo, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Yasser S. Hamed   +4 more
doaj   +1 more source

New Class Up and Down Pre-Invex Fuzzy Number Valued Mappings and Related Inequalities via Fuzzy Riemann Integrals

Symmetry, 2022
Numerous applications of the theory of convex and nonconvex mapping exist in the fields of applied mathematics and engineering. In this paper, we have defined a new class of nonconvex functions which is known as up and down pre-invex (pre-incave) fuzzy number valued mappings (F-N-V∙Ms). The well-known fuzzy Hermite–Hadamard (
Muhammad Bilal Khan, Gustavo Santos-García, Savin Treanta, Mohamed S. Soliman   +3 more
openaire   +1 more source

Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation

Fractal and Fractional, 2022
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan, Savin Treanțǎ, Hüseyin Budak   +2 more
doaj   +1 more source