User contributions
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- 15:40, 22 September 2016 (diff | hist) . . (0) . . Relationship between delta hk and delta gk (current)
- 21:00, 17 September 2016 (diff | hist) . . (+92) . . Mozyrska-Torres logarithm
- 20:56, 17 September 2016 (diff | hist) . . (+304) . . N Mozyrska-Torres logarithm at 1 (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}(1)=0,$$ where $...")
- 20:56, 17 September 2016 (diff | hist) . . (+18) . . Mozyrska-Torres logarithm (→Properties)
- 20:55, 17 September 2016 (diff | hist) . . (+66) . . Delta derivative of Mozyrska-Torres logarithm
- 20:55, 17 September 2016 (diff | hist) . . (+71) . . Delta derivative of Mozyrska-Torres logarithm
- 20:54, 17 September 2016 (diff | hist) . . (+189) . . N Delta derivative of Mozyrska-Torres logarithm (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}^{\Delta}(t) = \...")
- 20:54, 17 September 2016 (diff | hist) . . (+11) . . Mozyrska-Torres logarithm
- 20:53, 17 September 2016 (diff | hist) . . (+36) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:52, 17 September 2016 (diff | hist) . . (+3) . . Mozyrska-Torres logarithm
- 20:50, 17 September 2016 (diff | hist) . . (+1) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:50, 17 September 2016 (diff | hist) . . (+1) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 20:49, 17 September 2016 (diff | hist) . . (+26) . . MediaWiki:Sidebar
- 20:48, 17 September 2016 (diff | hist) . . (+20) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:48, 17 September 2016 (diff | hist) . . (+243) . . N Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales (Created page with "{{Book|The Natural Logarithm on Time Scales|2009|Journal of Dynamical Systems & Geometric Theories||Dorota Mozyrska|author2 = Delfim F. M. Torres}} ===Online copies=== [http:...")
- 00:46, 15 September 2016 (diff | hist) . . (+10) . . Nabla exponential
- 00:43, 15 September 2016 (diff | hist) . . (+15) . . Delta spq (current)
- 00:42, 15 September 2016 (diff | hist) . . (-137) . . Derivative of alternative delta sine (current)
- 00:41, 15 September 2016 (diff | hist) . . (-139) . . Derivative of alternative delta cosine (current)
- 00:41, 15 September 2016 (diff | hist) . . (-165) . . Pythagorean identity for alternate delta trigonometric functions (current)
- 00:41, 15 September 2016 (diff | hist) . . (+15) . . Delta cpq (→Properties) (current)
- 00:39, 15 September 2016 (diff | hist) . . (+10) . . Delta Wirtinger inequality (current)
- 00:39, 15 September 2016 (diff | hist) . . (-112) . . Delta Wirtinger inequality
- 00:38, 15 September 2016 (diff | hist) . . (+10) . . Delta Tschebycheff inequality (current)
- 00:38, 15 September 2016 (diff | hist) . . (+83) . . Delta Tschebycheff inequality
- 00:38, 15 September 2016 (diff | hist) . . (+44) . . Delta Opial inequality (current)
- 00:38, 15 September 2016 (diff | hist) . . (+44) . . Delta Minkowski inequality (current)
- 00:37, 15 September 2016 (diff | hist) . . (+10) . . Delta Markov inequality (current)
- 00:37, 15 September 2016 (diff | hist) . . (+87) . . Delta Markov inequality
- 00:37, 15 September 2016 (diff | hist) . . (-112) . . Delta Lyapunov inequality
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Jensen inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Gronwall inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Cauchy-Schwarz inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Bihari inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Bernoulli inequality
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Hölder inequality (current)
- 00:35, 15 September 2016 (diff | hist) . . (+12) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:35, 15 September 2016 (diff | hist) . . (+36) . . Delta Opial inequality
- 00:35, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey (→Contents)
- 00:34, 15 September 2016 (diff | hist) . . (+36) . . Delta Bihari inequality
- 00:34, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:34, 15 September 2016 (diff | hist) . . (+36) . . Delta Gronwall inequality
- 00:33, 15 September 2016 (diff | hist) . . (+46) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:32, 15 September 2016 (diff | hist) . . (+36) . . Delta Bernoulli inequality
- 00:31, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:31, 15 September 2016 (diff | hist) . . (+36) . . Delta Jensen inequality
- 00:30, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:30, 15 September 2016 (diff | hist) . . (+10) . . Delta Minkowski inequality
- 00:30, 15 September 2016 (diff | hist) . . (-120) . . Delta Minkowski inequality
- 00:30, 15 September 2016 (diff | hist) . . (+10) . . Delta Cauchy-Schwarz inequality
- 00:29, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:28, 15 September 2016 (diff | hist) . . (-120) . . Delta Cauchy-Schwarz inequality
- 00:28, 15 September 2016 (diff | hist) . . (0) . . Delta Hölder inequality
- 00:27, 15 September 2016 (diff | hist) . . (0) . . Delta Hölder inequality
- 00:19, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:16, 15 September 2016 (diff | hist) . . (-173) . . Delta Hölder inequality
- 00:07, 15 September 2016 (diff | hist) . . (+7,617) . . N Template:PaperReference (Created page with "<!-- This excerpt is here for ease of understanding the wiki code for author refs. Might be expanded to aid readability of the book reference as well. {{AuthorRef|{{{3}}}}} {...") (current)
- 00:07, 15 September 2016 (diff | hist) . . (+63) . . Delta Hölder inequality
- 00:04, 15 September 2016 (diff | hist) . . (+467) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:03, 15 September 2016 (diff | hist) . . (-146) . . Delta Opial inequality
- 00:02, 15 September 2016 (diff | hist) . . (-140) . . Delta Bihari inequality
- 00:01, 15 September 2016 (diff | hist) . . (-146) . . Delta Gronwall inequality
- 23:59, 14 September 2016 (diff | hist) . . (-157) . . Delta Jensen inequality
- 23:47, 14 September 2016 (diff | hist) . . (+289) . . N Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey (Created page with "{{Book|Inequalities on Time Scales: A Survey|2001|Mathematical Inequalities & Applications||Ravi Agarwal|author2 = Martin Bohner| author3 = Allan Peterson}} ===Online copies=...")
- 23:46, 14 September 2016 (diff | hist) . . (+192) . . N Template:Date (Created page with "{{#if: {{{day|}}} |${{{day}}}$ {{{month}}} ${{{year}}}$|{{#if: {{{month|}}} |{{{month}}} ${{{year}}}$|{{#if: {{{circa|}}} |c. ${{{circa}}}$|${{{1}}}$}}}}}}{{#if: {{{era|}}} |&...") (current)
- 23:36, 14 September 2016 (diff | hist) . . (0) . . Delta Bernoulli inequality
- 23:36, 14 September 2016 (diff | hist) . . (+10) . . Delta Bernoulli inequality
- 23:35, 14 September 2016 (diff | hist) . . (-156) . . Delta Bernoulli inequality
- 01:07, 23 August 2016 (diff | hist) . . (+130) . . Main Page (→Special functions on time scales)
- 01:06, 23 August 2016 (diff | hist) . . (+25) . . Main Page (→$\Diamond_{\alpha}$-calculus)
- 01:06, 23 August 2016 (diff | hist) . . (+10) . . Main Page (→$\nabla$-calculus)
- 01:06, 23 August 2016 (diff | hist) . . (+105) . . Main Page (→$\Delta$-calculus)
- 01:05, 23 August 2016 (diff | hist) . . (+215) . . Main Page (→Calculus on time scales)
- 01:01, 23 August 2016 (diff | hist) . . (+64) . . Nabla derivative (current)
- 00:58, 23 August 2016 (diff | hist) . . (+153) . . Nabla derivative at left-scattered (current)
- 00:57, 23 August 2016 (diff | hist) . . (+215) . . N Nabla derivative at left-scattered (Created page with "==Theorem== If $f$ is continuous at $t$ and $t$ is left-scattered, then $$f^{\nabla}(t) = \dfrac{f(t)-f(\rho(t))}{\nu(t)}.$$ ==Proof== ==References== ...")
- 00:55, 23 August 2016 (diff | hist) . . (-229) . . Nabla derivative
- 00:54, 23 August 2016 (diff | hist) . . (+190) . . N Nabla differentiable implies continuous (Created page with "==Theorem== If $f$ is nabla differentiable at $t$, then $f$ is continuous at $t$. ==Proof== ==References== Category:Theorem Cate...") (current)
- 00:53, 23 August 2016 (diff | hist) . . (-221) . . Nabla derivative (→Properties of the $\nabla$-derivative)
- 00:31, 23 August 2016 (diff | hist) . . (-159) . . Relationship between delta derivative and nabla derivative (current)
- 23:46, 22 August 2016 (diff | hist) . . (-1,318) . . Delta integral (current)
- 23:37, 22 August 2016 (diff | hist) . . (+41) . . Delta integral
- 23:35, 22 August 2016 (diff | hist) . . (+87) . . Delta derivative of the delta integral
- 23:34, 22 August 2016 (diff | hist) . . (+181) . . N Delta derivative of the delta integral (Created page with "==Theorem== The following formula holds: $$\left( \int_{t_0}^x f(\tau) \Delta \tau) \right)^{\Delta} = f(x).$$ ==Proof== ==References== Category:Theorem Category:Unpr...")
- 23:34, 22 August 2016 (diff | hist) . . (-268) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:33, 22 August 2016 (diff | hist) . . (+255) . . N Delta integral of delta derivative (Created page with "==Theorem== The following formula holds: $$\int_a^b f^{\Delta}(t) \Delta t = f(b)-f(a),$$ where $\int$ denotes the delta integral and $f^{\Delta}$ denotes the delta deri...") (current)
- 23:33, 22 August 2016 (diff | hist) . . (-250) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:32, 22 August 2016 (diff | hist) . . (+221) . . N Delta integral of nonnegative function (Created page with "==Theorem== If $f(t) \geq 0$ for all $a \leq t < b$ then $$\displaystyle\int_a^b f(t) \Delta t \geq 0,$$ where $\int$ denotes the delta integral. ==Proof== ==References...") (current)
- 23:31, 22 August 2016 (diff | hist) . . (-226) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:28, 22 August 2016 (diff | hist) . . (+263) . . N Modulus of delta integral (Created page with "==Theorem== Let $|f(t)| \leq g(t)$ on $[a,b)$. The following formula holds: $$\left| \int_a^b f(t) \Delta t \right| \leq \int_a^b g(t) \Delta t,$$ where $\int$ denotes the ...") (current)
- 23:27, 22 August 2016 (diff | hist) . . (-255) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:26, 22 August 2016 (diff | hist) . . (+187) . . N Delta integral over degenerate interval (Created page with "==Theorem== The following formula holds: $$\int_a^a f(t) \Delta t = 0,$$ where $\int$ denotes the delta integral. ==Proof== ==References== Category:Theorem Categor...")
- 23:26, 22 August 2016 (diff | hist) . . (-191) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:26, 22 August 2016 (diff | hist) . . (+45) . . Integration by parts for delta integrals with no sigma in integrand
- 23:25, 22 August 2016 (diff | hist) . . (+220) . . N Integration by parts for delta integrals with no sigma in integrand (Created page with "==Theorem== The following formula holds: $$\int_a^b f(t) g^{\Delta}(t) \Delta t = (fg)(b) - (fg)(a) - \int_a^b f^{\Delta}(t) g(\sigma(t)) \Delta t.$$ ==Proof== ==References=...")
- 23:25, 22 August 2016 (diff | hist) . . (+12) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:25, 22 August 2016 (diff | hist) . . (-273) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:24, 22 August 2016 (diff | hist) . . (+263) . . N Integration by parts for delta integrals with sigma in integrand (Created page with "==Theorem== The following formula holds: $$\int_a^b f(\sigma(t))g^{\Delta}(t) \Delta t = (fg)(b) - (fg)(a) - \int_a^b f^{\Delta}(t)g(t) \Delta t,$$ where $\int$ denotes the ...")
- 23:24, 22 August 2016 (diff | hist) . . (-273) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:23, 22 August 2016 (diff | hist) . . (+43) . . Delta integrals are additive over intervals (current)
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